flag English What is the percentage change from 1,000 to 900 (-10%)? A detailed explanation of different methods

What is the percentage increase or decrease

From to

e.g., Enter the original value and the new value to calculate the percentage increase or decrease.

Standard calculation methods

1
Direct percentage change formula
(900 − 1000) ÷ 1000 × 100 = -10%

Starting from 1000 and ending at 900, the difference is -100. Dividing this difference by the original value 1000 and multiplying by 100 gives a percentage change of -10%.

2
Calculate the difference first
900 − 1000 = -100
-100 ÷ 1000 × 100 = -10%

First find the difference between 900 and 1000, which is -100. Then divide -100 by the original value 1000 and multiply by 100 to get -10%.

Ratio and multiplier methods

3
Ratio-based calculation
900 ÷ 1000 = 0.9
(0.9 − 1) × 100 = -10%

Dividing 900 by 1000 gives a ratio of 0.9. Subtracting 1 and multiplying by 100 converts this ratio into a percentage change of -10%.

4
Multiplier interpretation
900 = 1000 × (1 + p/100)
p = (900 ÷ 1000 − 1) × 100 = -10%

The final value 900 can be expressed as the original value 1000 multiplied by (1 + p/100). Solving this equation results in a percentage change of -10%.

Other conversion tools you may find useful