Porcentagem Composta (múltiplas)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
efeito composto
About this calculator
The compound percentage calculator computes the total effect of multiple percentage changes applied in sequence. Instead of adding the percentages, it uses the formula (1 + p1/100) × (1 + p2/100) × ... × (1 + pn/100) − 1, which considers the cumulative effect on the base value. This is essential for situations where each percentage applies to the previous result, such as successive discounts, price increases, or compound returns.
Operation is simple: enter the percentages (positive for increase, negative for discount) separated by comma or space. The calculator multiplies the corresponding factors and subtracts 1, displaying the total percentage change. For example, a 10% increase followed by a 20% increase does not result in 30%, but in (1.10 × 1.20) − 1 = 0.32 or 32% total increase. The result can be positive or negative, depending on the combination.
Use this tool in scenarios such as calculating the actual discount after a '20% off + 10% extra' promotion, determining the cumulative price increase over months, or evaluating total investment returns with variable rates. It is also useful for comparing offers that apply sequential discounts versus a single discount.
Caution: the order of percentages does not affect the final result because multiplication is commutative. But remember that the formula assumes each percentage applies to the already modified value. Do not confuse with the average of percentages or simple addition. Always check that the percentages are applied sequentially to the same base value.
Frequently asked questions
What is the difference between compound percentage and simple sum of percentages?
In simple sum, you add the percentage values (e.g., 10% + 20% = 30%). In compound, each percentage applies to the already changed value, resulting in a different value. For example, 10% followed by 20% gives 32%, not 30%.
Can I use negative percentages for discounts?
Yes, enter negative values (e.g., -10 for 10% discount). The calculator handles signs and returns the total percentage, which may be negative if the result is a reduction.
Does the order of percentages affect the final result?
No, multiplication is commutative, so order does not matter. For example, 10% + 20% gives the same as 20% + 10%.
How to calculate the final value after multiple percentages?
Multiply the initial value by (1 + p1/100) × (1 + p2/100) × ... . The calculator provides the total percentage; for the final value, multiply the base value by (1 + total percentage/100).
Is this calculator useful for compound interest?
Yes, if rates are applied sequentially. For example, monthly returns of 1% per month for 12 months: enter 1% twelve times. The result will be the total accumulated percentage.