Calculate what percent of the total value is

The value corresponding to p% of the total value A is calculated by multiplying the total value by the ratio and dividing by 100. 20% of 50,000 is 10,000.

A × p ÷ 100
50,000 × 20 ÷ 100 = 10,000

Conversely, to find out what percentage of the partial value B is of the total value A, divide B by A and multiply by 100. If the overall value is 0, this ratio cannot be defined by division.

B ÷ A × 100
10,000 ÷ 50,000 × 100 = 20%

Post-discount price and actual discount rate formula

A 20% discount means you pay 80% of the original price. If you discount 20% from 50,000 won, the discount amount is 10,000 won, and the price after discount is 40,000 won.

A × (1 − p ÷ 100)
50,000 × (1 − 20 ÷ 100) = 40,000

If you know the original price and the sale price, divide the difference between the two prices by the original price to get the discount percentage. At this time, the original price must be greater than 0 to be interpreted as a routine discount rate.

(50,000 − 40,000) ÷ 50,000 × 100 = 20%
Distinguish between discount amount and payment price
Original priceDiscount rateDiscount amountPrice after discount
50,00020%10,00040,000
80,00015%12,00068,000
120,00025%30,00090,000

10% additional discount after 20% discount is not 30%

If the second discount applies to an already discounted price, the individual discount percentages cannot simply be added. If you apply a 20% discount to 100,000 won and then apply an additional 10%, it first becomes 80,000 won, and then by further discounting 8,000 won it becomes 72,000 won. The total discount compared to the original price is 28%.

100,000 × 0.8 × 0.9 = 72,000
(100,000 − 72,000) ÷ 100,000 × 100 = 28%

If flat rate coupons are mixed, the order of application must also be checked. If you first subtract the 10,000 won coupon from 100,000 won and get a 20% discount, it becomes 72,000 won. Conversely, if you apply a 10,000 won coupon after a 20% discount, the price is 70,000 won. Coupon conditions, maximum discount amount, shipping costs, and rounding rules may be added to the actual payment, so please check based on the payment screen.

Change rate and percentage point difference

The increase/decrease rate at which the old value A is changed to the new value B is the ratio of the difference divided by the old value. Increasing from 80 to 100 increases by 25%, but decreasing from 100 to 80 decreases by 20%. This is because the denominators are different.

(B − A) ÷ A × 100
(100 − 80) ÷ 80 × 100 = 25%
(80 − 100) ÷ 100 × 100 = −20%

If the ratio itself changes from 10% to 15%, the difference is 5 percentage points. The increase relative to the existing rate of 10% is 50%. Because the two expressions mean different values, you must separate the units in your report or table.

How to input in Moyoutil percent calculator

  1. If you select a percentage of the total value, enter the total value and the ratio to find the value of that percentage.
  2. If you select the price after discount, enter the original price and discount rate to obtain the price after discount.
  3. If you select an increase/decrease rate of two values, enter the old and new values. The existing value of 0 leads to an error.

The current screen displays results to a maximum of 8 decimal places. Rounding intermediate results and re-entering them may result in calculation errors. The currency of the amount is the same as the value entered, and exchange rates, taxes, and coupon policies are not automatically applied.

Frequently Asked Questions

If the price is raised by 20% after a 20% discount, is it the original price?

No. Discounting 100 by 20% is 80, and raising 80 by 20% is 96. It would need to go up 25% from 80 to get back to its original value of 100.

Can I use the increase/decrease rate even with existing negative values?

If it is not 0, mathematical calculations are possible, but may differ from routine increase/decrease interpretations. When comparing negative values ​​such as deficits, present both the original value and the change amount.