Percentage (%)
Percentage is per-cent which means parts per hundred.
One percent is equal to 1/100 fraction:
1% = 1/100 = 0.01
Ten percent is equal to 10/100 fraction:
10% = 10/100 = 0.1
Fifty percent is equal to 50/100 fraction:
50% = 50/100 = 0.5
One hundred percent is equal to 100/100 fraction:
100% = 100/100 = 1
One hundred and ten percent is equal to 110/100 fraction:
110% = 110/100 = 1.1
Percent sign
The percent sign is the symbol: %
It is written to the right side of the number: 50%
Percentage Definition
Percentage is a value that represents the proportion of one number to another number.
1 percent represents 1/100 fraction.
100 percent (100%) of a number is the same number:
100% × 80 = 100/100×80 = 80
50 percent (50%) of a number is half of the number:
50% × 80 = 50/100×80 = 40
So 40 is 50% of 80.
Percentage of a Value Calculation
x% of y is calculated by the formula:
percentage value = x% × y = (x/100) × y
Example:
Find 40% of 200.
40% × 200 = (40 / 100) × 200 = 80
Percentage Calculation
The percentage of x from y, is calculated by the formula:
percentage = (x / y) × 100%
Example:
The percentage of 30 out of 60.
(30 / 60) × 100% = 50%
Percentage Change (increase/decrease)
Percentage change from x1 to x2 is calculated by the formula:
percentage change = 100% × (x2 - x1) / x1
When the result is positive, we have percentage growth or increase.
Example:
Percentage change from 60 to 80 (increase).
100% × (80 - 60) / 60 = 33.33%
When the result is negative, we have percentage decrease.
Example:
Percentage change from 80 to 60 (decrease).
100% × (60 - 80) / 80 = -25%