Calculating Increase or Decrease Percentage

Increasing and decreasing a number by a certain percentage can sometimes lead to confusion. Let's break down the process step by step to understand how to calculate the overall increase or decrease percentage.

Step 1: Increasing the Number by 10%
When a number is increased by 10%, it means the number is multiplied by 1.10. For example, if the original number is 100, increasing it by 10% would result in 100 * 1.10 = 110.

Step 2: Decreasing the Number by 10%
After the number has been increased by 10%, the new number is then decreased by 10%. This decrease is calculated by multiplying the number by 0.90. Using the previous example, the number 110 would be decreased by 10% to get 110 * 0.90 = 99.

Calculating the Overall Increase or Decrease Percentage
To determine the overall increase or decrease percentage, we need to compare the final number with the original number. In this case, the original number was 100 and the final number after the increase and decrease process was 99.

Calculating Decrease Percentage
To calculate the decrease percentage, we can use the formula:
Decrease Percentage = ((Original Number - Final Number) / Original Number) * 100
Plugging in the values, we get:
((100 - 99) / 100) * 100 = (1 / 100) * 100 = 1%

Therefore, the overall decrease percentage after increasing the number by 10% and then decreasing it by 10% is 1%.

10 -- 10 = 0