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Percentage Increase Calculator

Find the percentage increase or decrease between two values

Original Value

Enter the original value

New Value

Enter the new value

Percent Change

Difference

Multiplier

Original

New

--0%--

Percentage Increase Calculator — Complete Guide

Percentage change is everywhere — price rises, salary growth, traffic reports, sports statistics — and it is also one of the most commonly miscalculated numbers. The whole trick is knowing which value goes in the denominator.

What this calculator does

Enter an original value and a new value. It returns the percentage change, the absolute difference and the multiplier, and it handles decreases as naturally as increases.

The formula

percent change = (new − original) ÷ original × 100
multiplier = new ÷ original

The denominator is always the original value. Dividing by the new value instead gives a different and wrong answer — it is the single most common error in this calculation.

A worked example

From 200 to 250: the difference is 50, so the change is 50 ÷ 200 × 100 = +25%. Going the other way, from 250 back to 200: the difference is −50, so the change is −50 ÷ 250 × 100 = −20%.

From	To	Change	Multiplier
200	250	+25.0%	1.250×
250	200	−20.0%	0.800×
80	120	+50.0%	1.500×
1,000	1,100	+10.0%	1.100×

Why 25% up is not undone by 20% down

A 25% rise takes 200 to 250, but a 20% fall takes 250 back to 200. The two percentages are different because each is measured against a different base. This asymmetry is why losses require a larger gain to recover: fall 50% and you need a 100% gain to get back to even.

Two traps worth knowing

Percentage points vs percent. An interest rate moving from 5% to 7% is +2 percentage points, but a 40% increase. The two are constantly confused in the news.
Successive changes compound. A 10% rise followed by another 10% is not 20% — it is 1.10 × 1.10 = 21%.

百分比增长计算器完整使用指南

百分比变化无处不在 —— 物价上涨、薪资增长、流量报表、体育统计 —— 同时也是最容易被算错的一个数字。关键只在于一件事：分母放哪个值。

这个计算器能做什么

输入原始值和新值，它会给出百分比变化、绝对差值与倍数，增长和下降都能处理。

计算公式

百分比变化 = (新值 − 原始值) ÷ 原始值 × 100
倍数 = 新值 ÷ 原始值

分母永远是原始值。若错误地除以新值，会得到一个不同且错误的结果 —— 这是此类计算中最常见的错误。

算例演示

从 200 变到 250：差值为 50，变化率为 50 ÷ 200 × 100 = +25%。反过来，从 250 回到 200：差值为 −50，变化率为 −50 ÷ 250 × 100 = −20%。

原始值	新值	变化	倍数
200	250	+25.0%	1.250×
250	200	−20.0%	0.800×
80	120	+50.0%	1.500×
1000	1100	+10.0%	1.100×

为什么涨 25% 不等于跌 20% 抵消

涨 25% 把 200 变成 250，但跌 20% 只能把 250 变回 200。两个百分比不同，是因为它们各自的分母不同。这种不对称性正是「亏损需要更大涨幅才能回本」的原因：跌掉 50%，需要涨 100% 才回到原点。

两个值得记住的坑

百分点 vs 百分比。 利率从 5% 升到 7%，是上涨 2 个百分点，但涨幅是 40%。媒体上这两者经常被混淆。
连续变化是复利式叠加。 先涨 10% 再涨 10%，不是 20%，而是 1.10 × 1.10 = 21%。

Frequently Asked Questions

How do I calculate percentage increase?

Subtract the original from the new value, divide by the original, then multiply by 100. From 200 to 250 the change is 50 ÷ 200 × 100 = 25%.

How do I calculate percentage decrease?

The same formula, and the answer comes out negative. From 250 down to 200 is (200 − 250) ÷ 250 × 100 = −20%. Note that a 25% rise and a 20% fall undo each other — the percentages differ because the base did.

What is the difference between percentage change and percentage points?

Percentage points compare two percentages directly: 5% rising to 7% is +2 percentage points, but a 40% increase. Percent change always divides by the starting value.

Last reviewed: October 5, 2026 · How we calculate · Sources: Standard percentage-change formula