# The cost of electricity increased by 25%. How many% do you need to reduce electricity consumption

**The cost of electricity increased by 25%. How many% do you need to reduce electricity consumption to pay the same amount as before?**

To solve this problem, remember, in order to find the percentage of the number, you need to multiply this number by the percentage and divide by one hundred. Let the initial cost of electricity be x. Then, after increasing the cost by 25%, the cost of electricity will be:

x + 0.25x = 1.25x.

In order to calculate by how many percent the new cost must be reduced by 1.25x, in order to obtain the original cost, that is, x, we must calculate the difference between these prices and find how many percent this difference from the new price is – 1.25x. To find how many percent one number is from another, you need to find the quotient of these numbers, and then translate it into percentages (for this, multiply the resulting number by 100%).

1.25x-x = 0.25x.

0.25x / 1.25x * 100 = 0.2 * 100 = 20%.

Answer: 20%.