Percentage Calculator – Ultimate Guide to Percentages
Use this percentage calculator to solve one of the problems below.
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How to Calculate Percentage
A percentage is the proportion of a part to the whole amount or the portion of a value. It can be expressed as a fraction/decimal or as a whole number with a percent symbol.
To solve the percentage between two values or one of the values themselves, use the percentage formula:
y = x × p / 100
Simply put, the value y is equal to value x multiplied by the percentage p, divided by 100.
By rewriting this formula, it’s possible to solve any of the values if the other two are known.
For example: let’s solve 75% of 60.
y = x × p / 100
y = 60 × 75 / 100
y = 4500 / 100
y = 45
How to Calculate Percent of Change
To find the amount of change between two numbers expressed as a percent, use the percent change formula:
p = y – x / |x| × 100
Thus, the percent of change p is equal to the final value y minus the initial value x, divided by the absolute value of the initial value x, times 100;
You can also easily find the amount of change from one value to another with our percent change calculator.
How to Calculate Percent Increase or Decrease
When increasing by a percentage, find the result using the percent increase formula:
y = x + (x × p / 100)
So when increasing the value x by percentage p, the result will be x plus x times the percent p, divided by 100.
When decreasing by a percentage, find the result using the percent decrease formula:
y = x – (x × p / 100)
So when decreasing the value x by percentage p, the result will be x minus x times the percent p, divided by 100.
How to Convert Percentage to a Decimal
Percentages are often represented as a whole number with the “%” symbol after it, but they can also be expressed as a decimal. Since percent means “per 100,” the decimal conversion is just a division by 100.
See the percentage to decimal conversion formula:
decimal = percentage / 100
For convenience, we also have a percent to decimal conversion calculator.