What Percent Is 9 15
This per centum calculator is a tool that lets you lot do a simple adding: what percent of X is Y? The tool is pretty straightforward. All yous demand to practice is make full in ii fields, and the tertiary i will be calculated for y'all automatically. This method volition allow you to respond the question of how to find a percent of two numbers. Furthermore, our percentage calculator also allows you to perform calculations in the opposite way, i.e., how to find a percentage of a number. Try entering diverse values into the unlike fields and see how quick and easy-to-employ this handy tool is. Is just knowing how to get a pct of a number is non plenty for you? If you are looking for more extensive calculations, hitting the advanced mode button under the calculator.
Other than being helpful with learning percentages and fractions, this tool is useful in many different situations. You can find percentages in almost every aspect of your life! Anyone who has ever been to the shopping mall has surely seen dozens of signs with a large pct symbol saying "discount!". And this is only one of many other examples of percentages. They ofttimes appear, e.1000., in finance where we used them to find an amount of income tax or sales tax, or in health to express what is your body fatty. Continue reading if you would similar to see how to detect a percentage of something, what the percentage formula is, and the applications of percentages in other areas of life, similar statistics or physics.
Here are a few calculators to solve related bug:
- percentage increase and percentage decrease calculators show the percentage change, either positive or negative;
- percentage alter, doesn't matter whether it's positive or negative;
- percent deviation takes care of a very like concept, used when we don't know the direction of the calculation (from number A to B or B to A);
- pie charts help the states visualize the percentage of data in each segment of a given distribution.
What is the percentage? - How to discover the percent of something?
Percentage is 1 of many means to limited a dimensionless relation of two numbers (the other methods being ratios, described in our ratio figurer, and fractions). Percentages are very popular since they tin describe situations that involve big numbers (e.yard., estimating chances for winning the lottery), average (east.chiliad., determining final grade of your course) also as very small ones (like volumetric proportion of NO₂ in the air, also oft expressed past PPM - parts per million).
One pct is a hundredth. As a pct sign, nosotros usually use %, merely sometimes it is denoted past pct. It ways that five percent is the same as 5%, five per centum, 0.05, five/100, or 5-hundredths. It is equally uncomplicated as that, and this percentage calculator is a tool dedicated to working with decimal fractions and percentages. If yous're seeking more complicated problems, try to figure out how to calculate the per centum of a percentage.
This is all nice, but nosotros usually do non use percents merely by themselves. Mostly, nosotros want to answer how big is 1 number in relation to another number?. To try to visualize it, imagine that nosotros have something anybody likes, for example, a big package of cookies (or donuts or chocolates, whatever you prefer 😉 - we volition stick to cookies). Let'south effort to find an answer to the question of what is xl% of 20? Information technology is twoscore hundredths of xx, so if nosotros divided xx cookies into 100 even parts (proficient luck with that!), 40 of those parts would exist twoscore% of 20 cookies. Let'due south do the math: twoscore/100 * 20 = eight. A handy little tip: to dissever by 100, but move the dot two spaces to the left. In our calculation, forty/100 * 20 could be done as (twoscore * twenty)/100 (it's the same thing). 40 * 20 is 800. By moving the dot in 800 by two digits to the left, you get 8.00, and when yous become rid of all unnecessary zeros, yous obtain eight. In our computer, enter twoscore and 20 (then information technology reads "twoscore% of 20" is 8).
How to find the percentage of two numbers? - Cookies! 🍪
A percentage is also a way to limited the relation betwixt ii numbers as a fraction of 100. In other words, the percentage tells u.s. how one number relates to another. If we know that number A is 25% of number B, nosotros know that A to B is like 25 is to 100, or, after one more transformation, similar 1 to four, i.due east., A is 4 times smaller than B. This is what the percentage calculator teaches; what is a per centum and how to find a percentage of two numbers. It is essential and practical knowledge. Why? Permit's say that B represents the mass of a human torso or the mass of some air. Then, by denoting A as a mass of water, we can detect out what is the full body water pct or relative humidity (the dew indicate computer is a great tool to calculate it).
How to find a percentage of something? It's easiest to explain what is the percentage with cookies. It is surprising how often cookies save the 24-hour interval, right? Say we take a big drawer with 100 compartments (a 10 ten 10 grid). Every compartment is 1 hundredth or 1% of the whole drawer. We then fill this drawer with cookies in a way that gives united states of america exactly the aforementioned number of cookies in each compartment.
At first, let'southward start with the well-nigh straightforward example with 100 cookies. How to go the percentage of several, let's say, five cookies? It's easy: every compartment gets exactly one cookie. So one per centum of 100 is 1 cookie, and five pct is five cookies.
Let'due south go with something a flake harder and iv times more than delicious: 400 cookies! Nosotros're dividing them evenly, and every compartment gets four cookies. Cookies look smaller, but in our imagination, they are the aforementioned, but the drawer is much bigger! I percent of 400 is iv. How about 15 pct? It's 15 compartments times four cookies - lx cookies. Our tummies start to ache a piddling, but it has never stopped u.s. from eating more cookies!
Now, something fifty-fifty harder - 250 cookies. Oh-oh, we divided up the outset 200 cookies, placing two in every compartment. Now we are left with 50 cookies that need to exist spread evenly, hmmm, information technology's one-half a cookie in every box. How to calculate the percentage? You lot are right - this time, 1 percent of the full number of 250 cookies is ii.v. How many practise we have in fifteen boxes? two.v * xv is 37.5.
So what is pct good for? Every bit nosotros wrote earlier, a percentage is a way to limited a ratio. Say you are taking a graded test. If we told yous that you got 123 points, it actually would non tell you annihilation. 123 out of what? Now, if we told you that you lot got 82%, this figure is more understandable information. Even if we told you, you got 123 out of 150; information technology's harder to feel how well you did. A week earlier, at that place was some other exam, and y'all scored 195 of 250, or 78%. While information technology's difficult to compare 128 of 150 to 195 of 250, it'southward easy to tell that 82% score is better than 78%. Isn't the percent sign helpful? After all, information technology'south the percentage that counts!
What virtually decimal fractions and percentages? Percentages can easily be converted to decimals. Just divide the percentage by 100, and you lot are prepare. xv% is the same as 0.15. So every bit nosotros have shown earlier, 0.15 of 250 cookies is thirty-seven and a half.
Percentages are sometimes better at expressing various quantities than decimal fractions in chemistry or physics. For instance, information technology is much convenient to say that percentage concentration of a specific substance is 15.vii% than that there are xviii.66 grams of substance in 118.66 grams of solution (like in an instance in percentage concentration calculator). Some other example is efficiency (or its special case - Carnot efficiency). Is it improve to say that a machine engine works with an efficiency of twenty% or that it produces an energy output of 0.ii kWh from the input energy of 1 kWh? What do you think? We are sure that y'all're already well enlightened that knowing how to go a percentage of a number is a valuable ability.
How to find the percentage of a number? - Other examples
While it'southward certainly quick and painless just to use our pct calculator, yous don't always have admission to a calculator or a smartphone. Also, it's only patently cool to be able to perform calculations in your caput. Perchance not every bit absurd every bit juggling flaming torches, but close.
The percentage tells you how number A relates to number B. A real-earth example could be: there are two girls in a grouping of five children. What's the percentage of girls? In other words, nosotros want to know what's the ratio of girls to all children. It's 2 out of 5, or 2/5. We phone call the first number (2) a numerator and the 2d number (five) a denominator because this is a fraction. To calculate the percentage, multiply this fraction by 100 and add a per centum sign. 100 * numerator / denominator = percent. In our instance it's 100 * two/5 = 100 * 0.4 = forty. Forty pct of the group are girls. That'southward the entire procedure of converting between decimal fractions and percentages. Speaking of decimal fractions, in that location is a fashion to write very big or very pocket-size numbers concisely. Check it out with our scientific notation computer!
Practice you accept problems with simplifying fractions? The best way to solve this is by finding the GCF (Greatest Mutual Cistron) of the numerator and denominator and divide both of them past GCF. Y'all might observe our GCF and LCM calculator to exist convenient here. It searches all the factors of both numbers and and so shows the greatest common one. As the name suggests, it also estimates the LCM which stands for the Least Common Multiple.
Let'due south go the other style effectually and try to find the numerator. Say we know that 70 percent of fruits in the handbasket are apples, and there are 30 fruits altogether. Information technology could exist worse - they could exist lemons. And then how many apples do we have? Let'south get our percent formula: 100 * numerator / denominator = pct. Nosotros desire to find out the numerator. Allow's move all the other parts of the equation to the other side. Split both sides by 100 (to become rid of 100 on the left) and then multiply both sides by the denominator. This is what nosotros get: numerator = percentage * denominator / 100. Permit's substitute percent and denominator with our values: numerator = 70 * 30 / 100. Now it'southward like shooting fish in a barrel: numerator = 2100 / 100 = 21, nosotros have 21 apples. Should be enough for tiffin or a rather tearing food fight.
At present let'south solve a problem with an unknown denominator. We spent 30 percent of our pocket money on chimera mucilage (we never said we're great investors). We bought 12 sticks for $1 each. So nosotros know that $12 was 30 percent of our total budget. How much money did we accept before we nearly literally blew information technology all away? Let's start with our formula: 100 * numerator / denominator = percentage or 100 * 12 / denominator = xxx. This fourth dimension we want to discover out the denominator. Let's multiply both sides by the denominator and and so carve up past percentage. This way, we'll get 100 * 12 / 30 = denominator. And the other way around, denominator = 100 * 12 / 30 = 1200 / xxx = forty. We had 40 dollars, and we spent thirty per centum, or $12, on chimera gum. Totally worth it.
How to summate the per centum? What'due south the percentage formula?
Staying with our cookie examples, let's name the three parts in our equation: the percentage of cookies - 40%, the whole pack of cookies - 20 and the part of the pack of cookies - eight. Depending on what you want to approximate, y'all can write 3 various percentage formulas:
- the equation for percent is this:
percentage = 100 * part / whole, and it answers the question "what percentage of xx is eight". - the formula for a part is:
role = whole * percentage / 100, and it answers "what is 40% of 20?". - and finally, the formula for a whole is:
whole = 100 * part / percentage, and it says "what is 100% if 8 is forty%?".
That's technically all. You lot should at present know how to find the pct of a number.
Believe it or not, but knowing how to calculate percentages is essential in sports. Are you supporting any sports team? Nosotros've got some exciting tools for you which involve percentages. Cheque our winning percentage calculator to meet how good the last season really was for your favorite team. Too, if you're planning to bet on your squad (or make whatever other investment), visit the risk figurer to detect out which pick is safer.
History of percentage - the pct sign
Although Ancient Romans used Roman numerals I, V, X, L, and and so on, calculations were frequently performed in fractions that were divided by 100. Information technology was equivalent to the computing of percentages that nosotros know today. Computations with a denominator of 100 became more standard later the introduction of the decimal system. Many medieval arithmetic texts applied this method to depict finances, e.g., interest rates. Withal, the percent sign % we know today simply became popular a little while ago, in the 20th century, later years of constant development.
The term percentage is oftentimes attributed to Latin percentage, which ways past a hundred. Actually, it is incorrect. We got the term from Italian per cento - for a hundred. The percent sign % evolved by the gradual wrinkle of those words over centuries. Eventually, cento has taken the shape of ii circles separated past a horizontal line, from which the modern % symbol is derived. The history of mathematical symbols is sometimes astonishing. Nosotros encourage you to take a expect at the origin of the square root symbol!
Recently, the percent symbol is widely used in programming languages as an operator. Usually, it stands for the modulo performance. On the other hand, in experimental physics, the symbol % has a special significant. It is used to express the relative mistake between the truthful value and the observed value found in a measurement. To know more almost relative error yous tin bank check our percentage fault estimator.
Have you e'er met a percent symbol that had an additional circumvolve? That's not a error! In that location are ii related signs:
- ‰ - per mille - per 1000,
- ‱ - per myriad - per x chiliad (besides known equally a ground point),
Later in the text, nosotros explain in more particular what per mille ways, what is a basis point and how to convert per milles and basis points to percents.
Higher proportions use other note (called parts-per notation), due east.g., parts-per-million (PPM) which is frequently used to measure the concentration of a substance in solution or mixture. Of current concern is smog, the tiny particulate matter that enters the air and tin seriously bear upon someone'southward health. Visit our smog reckoner to see how many cigarettes do y'all "smoke" merely by inhaling air and how can you counteract the spread of pollutions.
Spelling - percent or per cent?
Percentage or per cent? It depends on your diet. If you lot swallow hamburgers for the majority of your meals, information technology is percent. If you prefer fish and chips, it is per cent. If y'all spray your fish-smelling fries with vinegar, then it is per cent, mate (as opposed to burger eaters' percent, dude). When it comes to percentage, both sides of the pond are in agreement: information technology should exist a single word. Still confused? Americans say percent, British apply per cent. Something tells u.s. that American English language is more popular nowadays, so this website uses a single-give-and-take form.
Subsequently a delicious dejeuner, there's a time for a cup of coffee. It may audio quite weird for you, what practice coffee and percentage have in common? Our coffee kick computer tells you what your level of alacrity is in percentages during the mean solar day! Check out how a dose of caffeine helps yous remain focused! Also, if you lot're a real java-lover, endeavor our other tools. With coffee to water ratio calculator, you tin find a perfect ratio of ingredients to prepare your loving cup of coffee and caffeine reckoner shows you how much caffeine you've had during a twenty-four hour period. Be aware that y'all can overdose on caffeine too!
What is per mille? What is a basis signal?
Per mille, per mil, per manufacturing plant, or simply ‰ is like to percent, only it is 1 thousandth (ane/1000 or 0.001). If our household'due south upkeep is $2400 and nosotros allocated 1 per mille of that to ownership chewing gum, nosotros would spend ii.4 dollars (ii dollars 40 cents) on abrasive our teachers (well, xx years ago it was not allowed in Polish schools. We practise not know the rules nowadays 😃). Information technology's pretty similar to how you lot find percentages. If yous wanted to use percentage figurer to count per mille, simply employ numbers 10x lower (0.two instead of 2, 4 instead of 40).
Per myriad, basis signal or but ‱ is one x-thousandth(ane/10000 or 0.0001). It'southward 10x smaller than per mille, so to convert basis points to percents, you demand to divide them past 100. Information technology's that simple!
Percentage points (pct points)
Percent points (or percentage points) are a rather tricky animate being. We use information technology all the time even if we don't know it - and in these situations, we oft incorrectly say percent instead of a per centum indicate. Once you read this department, you lot will know how to do it properly and exist annoyed for the balance of your life (considering other people will keep making the mistake). We can already say that percentage points play an essential role in statistics, e.g., in the normal distribution, binomial distribution, or to find the confidence interval for a sample of data (conviction level is usually at 95 per centum points).
Senator Homer Simpson was polling at 10% last calendar month. He had a few successful debates since then, and now 12% of the population wants to vote for him. What's the change? You want to say 2%, are we right? It's incorrect! Let's examine this. Imagine the whole population is 1000 people. 10% of them is 100. 12% is 120. What's the percentage increase? It's 100 * 20 / 100 = xx%!
This situation is when pct points come in handy. We use pct points when we want to talk nearly a change from one percentage to another. A change from 10% to 12% is two percentage points (or 20 pct).
Some other mode to think about a difference in a percent alter:
- percentage points change is that percentage change in relation to the previous value (10% in our example and 1 percent of that is one-hundredth of 10% = 0.1%),
- change in percentage points is in relation to the whole office (whole is the unabridged population or 1000 in our case. 1% of that is 10). To calculate per centum points, just decrease one pct from another. thirty% is twenty pct points higher than 10%. The percentage point can be abbreviated as pp.
Now, when you know everything nearly percentage points, we guarantee that you will read or hear other people incorrectly maxim pct when they should be using percentage points. If you're anything like united states, you will scream at the paper, insulting information technology in some made-upward language. This reaction helps to costless upward space around you lot when you're using public transportation :-)
FAQ
What is the percentage?
The percentage tin can be defined as the dimensionless ratio of two numbers. Information technology can exist used to compare two numbers and find out how much i is more than than the other or compare the two numbers confronting a common scale.
How do I summate x pct of y?
To calculate x percent of y:
- Divide x by 100.
- Multiply x by y.
The resultant number is x% of y.
How much percent of x is y?
To detect out 10 in terms of y:
- Separate x by y.
- Multiply the resultant number by 100.
The product, p% of y is equal to 10.
How much is sixty% of 1260?
threescore% of 1260 is equal to 60/100 * 1260 = 756
Mateusz Mucha and Dominik Czernia , PhD candidate
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