What is the percentage change from 80 to 84 (5%)? A detailed explanation of different methods
Standard calculation methods
Starting from 80 and ending at 84, the difference is 4. Dividing this difference by the original value 80 and multiplying by 100 gives a percentage change of 5%.
4 ÷ 80 × 100 = 5%
First find the difference between 84 and 80, which is 4. Then divide 4 by the original value 80 and multiply by 100 to get 5%.
Ratio and multiplier methods
(1.05 − 1) × 100 = 5%
Dividing 84 by 80 gives a ratio of 1.05. Subtracting 1 and multiplying by 100 converts this ratio into a percentage change of 5%.
p = (84 ÷ 80 − 1) × 100 = 5%
The final value 84 can be expressed as the original value 80 multiplied by (1 + p/100). Solving this equation results in a percentage change of 5%.
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