# Percent increase – percent decrease

The term "percent increase - percent decrease" is used to describe the relationship between two values when one value is increased by a certain percentage and the other value is decreased by the same percentage. The net effect is that the two values are unchanged.

For example, if value A is increased by 10% and value B is decreased by 10%, then the net effect is that the two values are unchanged.

##### What does percent increase decrease mean?

When you hear the term "percent increase/decrease," this is referring to the percent change in a given value. To calculate percent change, you take the difference between the new value and the old value, divided by the old value, and then multiply by 100.

For example, let's say you have a widget that originally costs \$10. The price increases to \$12. The percent increase would be calculated as follows:

(12-10)/10 * 100 = 20%

Conversely, if the price of the widget decreases from \$10 to \$8, the percent decrease would be:

(8-10)/10 * 100 = -20%

##### How do I decrease a percentage by another percentage?

There are a few different ways to decrease a percentage by another percentage. One way is to simply multiply the first percentage by the second percentage, and then subtract that result from the original percentage. For example, if you wanted to decrease 50% by 20%, you would first calculate 20% of 50%, which is 10%. Then, you would subtract 10% from 50%, giving you a final result of 40%.

Another way to approach this problem is to convert both percentages into decimal form, and then multiply the two decimal values together. For example, if you wanted to decrease 50% by 20%, you would first convert 50% into the decimal form 0.50, and 20% into the decimal form 0.20. Then, you would multiply 0.50 by 0.20, giving you a final result of 0.40, or 40%.

You can also decrease a percentage by another percentage by using a proportion. For example, if you wanted to decrease 50% by 20%, you would set up the proportion 50/100 = x/20. Then, you would solve for x, which in this case would be 10. This means that 10% is equal to 20% of 50%. So, if you subtract 10% from 50%, you are left with 40%, which is the final answer. Can you undo a percent increase with a percent decrease? Yes, you can undo a percent increase with a percent decrease. For example, if you have a 10 percent increase, you can decrease by 10 percent to get back to the original value.

##### How do you calculate percentage increase and decrease?

There are a few different ways to calculate percentage increase and decrease, depending on what information you have.

If you have the original value and the new value, you can calculate the percent change using the following formula:

Percent change = ((new value - old value)/old value) x 100

For example, if the original value is 10 and the new value is 12, the percent change would be ((12-10)/10) x 100 = 20%.

If you know the percent increase or decrease, and you want to calculate the new value, you can use the following formulas:

For percent increase: new value = old value + (old value x percent increase)

For example, if the original value is 10 and the percent increase is 20%, the new value would be 10 + (10 x 20%) = 12.

For percent decrease: new value = old value - (old value x percent decrease)

For example, if the original value is 10 and the percent decrease is 20%, the new value would be 10 - (10 x 20%) = 8.

### How do you calculate percentage increase?

There are a few different ways to calculate percentage increase, and the method you use will depend on the information you have.

If you know the original value and the new value, you can simply subtract the original value from the new value and divide by the original value. This will give you the raw percentage increase.

For example, if the original value is 10 and the new value is 12, you would subtract 10 from 12 to get 2. You would then divide 2 by 10 to get 0.2. This would give you a 20% increase.

If you know the original value and the percentage increase, you can calculate the new value by multiplying the original value by (1 + percentage increase).

For example, if the original value is 10 and the percentage increase is 20%, you would multiply 10 by 1.2 to get 12. This would give you a new value of 12.

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