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Learning how to calculate the percentage of one number vs. another number is easy. If you want to know what percent A is of B, you simple divide A by B, then take that number and move the decimal place two spaces to the right. That's your percentage!
To use the calculator, enter two numbers to calculate the percentage the first is of the second by clicking Calculate Percentage. You may also calculate the value of a percentage of a number by entering the percentage you seek of the number you also enter and then clicking Calculate % Value. This app is free to use, so send it to your friends!
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We can find the percentages of whole numbers without a calculator in some cases where standard percentages are involved. Some standard percentages are like 1%, 10%, 25%, 50%, 100%. Other percentages can be written as combinations of these standard percentages. Like 2% is twice of 1%; 5% is half of 10%, 20% is twice of 10% and so on. Rules to find the percentage of a whole number without a calculator To find 1% of any whole number, we shift the decimal two places to the left in the whole number. To find 10% of any whole number, we shift the decimal one place to the left in the whole number. To find 25% of any whole number, we divide the whole number by 4. To find 50% of any whole number, we divide the whole number by 2. To find 100% of any whole number, we keep the whole number as it is. To find other
percentages of whole numbers, we use the combinations of the standard percentages to find them.
What is 2% of 19.5?
Solution
Step 1:
To find 1% of any whole number, we shift the decimal two places to the left in the whole number. To find 2% of any whole number, we double the 1% of that number.
Step 2:
1% of 19.5 is found by shifting the decimal point two places to left
1% of 19.5 = 0.195
So, 2% of 19.5 = 2 × 1% of 19.5 = 2 × 0.195 = 0.390 = 0.39
What is 30% of 7.25?
Solution
Step 1:
To find 10% of any whole number, we shift the decimal one place to the left in the whole number. To find 30% of any whole number, we triple the 10% of that number.
Step 2:
10% of 7.25 is found by shifting the decimal point one place to left
10% of 7.25 = 0.725
So, 30% of 7.25 = 3 × 10% of 7.25 = 3 × 0.725 = 2.175
What is 15% of 40?
Solution
Step 1:
15% can be written as a sum of 10% and 5%
To find 10% of any whole number, we shift the decimal one place to the left in the whole number. To find 5% of any whole number, we divide the 10% of that number by 2.
Step 2:
10% of 40 is found by shifting the decimal point one place to left
10% of 40.0 = 4.00; 5% of 40 = $\frac{(10\%\:of \:40.0)}{2} = \frac{4}{2} = 2$
15% of 40 = 10% of 40 + 5% of 40 = 4 + 2 = 6
So, 15% of 40 = 6
Please provide any two values below and click the "Calculate" button to get the third value.
Percentage Calculator in Common Phrases
Percentage Difference Calculator
Percentage Change Calculator
Please provide any two values below and click the "Calculate" button to get the third value.
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction
.
Percentage Formula
Although the percentage formula can be written in different forms, it is essentially an algebraic equation involving three values.
P × V1 = V2
P is the percentage, V1 is the first value that the percentage will modify, and V2 is the result of the percentage operating on V1. The calculator provided automatically converts the input percentage into a decimal to compute the solution. However, if solving for the percentage, the value returned will be the actual percentage, not its decimal representation.
EX: P × 30 = 1.5
If solving manually, the formula requires the percentage in decimal form, so the solution for P needs to be multiplied by 100 in order to convert it to a percent. This is essentially what the calculator above does, except that it accepts inputs in percent rather than decimal form.
Percentage Difference Formula
The percentage difference between two values is calculated by dividing the absolute value of the difference between two numbers by the average of those two numbers. Multiplying the result by 100 will yield the solution in percent, rather than decimal form. Refer to the equation below for clarification.
| Percentage Difference = | × 100 |
Percentage Change Formula
Percentage increase and decrease are calculated by computing the difference between two values and comparing that difference to the initial value. Mathematically, this involves using the absolute value of the difference between two values, and dividing the result by the initial value, essentially calculating how much the initial value has changed.
The percentage increase calculator above computes an increase or decrease of a specific percentage of the input number. It basically involves converting a percent into its decimal equivalent, and either subtracting (decrease) or adding (increase) the decimal equivalent from and to 1, respectively. Multiplying the original number by this value will result in either an increase or decrease of the number by the given percent. Refer to the example below for clarification.
EX: 500 increased by 10% (0.1)
500 × (1 + 0.1) = 550
500 decreased by 10%
500 × (1 –
0.1) = 450