How to find out what a number is a percentage of another number?
A percentage is an important tool in mathematics, employed to know the certain ratio in a concise form.
Answer: To find out how much a number(A) is a percentage of another number (B), we can use the formula: A/B × 100%.
Go through the examples to understand the basic idea behind this calculation.
Let’s assume that you need to find what percentage x is of y.
We can make use of x / y. The number that comes after the word “of” is always the denominator, while the other is the numerator.
Once you have got your fraction, you must convert it to a percentage. There are two ways of doing this.
1) One is to get the fraction to be equal to a number over 100. So, z / 100 for instance. The numerator is the percentage. So, z / 100 = z %.
2) Another way is to divide the numbers with long division. Once you get your answer, you multiply it by 100. The product is the percentage.
Let’s try a problem.
What percentage of 10 is 3?
We have two ways to get our answer. Let’s do it by dividing. 3 divided by 10 is 0.3. 0.3 times 100 is 30. So 3 is 30 % of 10.
The other way is to make our denominator 100. We can multiply both numerator and denominator by 10 to get 30 / 100. Since the denominator is 100, the numerator is the percentage. So we now have 30 %. It is better to divide since you won’t always have a denominator that can become 100.