Percentage Increase Calculator

Fill in two boxes, click Calculate. This percentage increase calculator gives the exact percentage change instantly, right on the page.

• Original value — where you started, such as a price of 60 in the first box of the percentage increase calculator
• New value — where you ended up, such as 90 in the second box

With the defaults you immediately get three results: a percentage change of +50% (the rise from 60 to 90), an absolute change of 30, and the new value as a share of the original — 150% of where you started. One formula covers both directions: a positive answer is an increase, a negative one a decrease.

This page is more than a static percentage increase calculator — it is also an AI tutor you can ask questions. The question box under the form takes full questions, photos of the problem, and follow-ups:

• Ask in plain words. “A jacket cost 60 and now costs 90 — what is the percentage increase?” The AI reads it and solves it step by step.
• Take a photo of your homework. No typing: the AI reads the numbers and solves it step by step.
• Ask about the ideas, not just the number. “Why divide by the original?” or “Why doesn't a 10% rise followed by a 10% fall cancel out?” The AI explains step by step — you can check every number against the percentage increase calculator on this page, so nothing is guessed.
• Work backwards, then keep asking. Give the original value and the percent, and ask for the new one — this percentage increase calculator covers both directions. Follow-up questions are welcome, so ask “why?” as often as you need: the percentage increase calculator page keeps teaching.

Why measure change as a percentage at all? Because raw differences mislead. A rise of 30 points on a 60 quiz and a rise of 30 points on a 90 budget are the same gap with very different meanings. Percentage change puts every move on one scale by asking: how big is this move relative to where you started?

The same formula covers rises and falls — the sign does the labeling:

• New value above the original: the change is positive, a percentage increase.
• New value below the original: the change is negative, a percentage decrease.
• New value equal to the original: the change is exactly 0%.

Now watch one pair of numbers travel both directions. From 60 to 90, the move is +50% of its base. From 90 back down to 60, the move is $-33.33\%$ of a different base. The two answers differ because each trip divides by its own starting value — up 50% is not undone by down 33.33%, and neither trip returns you exactly home. Type both orders into the percentage increase calculator above and watch the sign and the size change together. That asymmetry is not a flaw; it is what measuring against a base means.

Every answer from the percentage increase calculator comes down to one line:

$\%\Delta=\dfrac{\text{new}-\text{old}}{|\text{old}|}\times100$

The method, one step at a time:

1. Find the change: subtract the original from the new value.
2. Divide by the original: this measures the move against the base.
3. Multiply by 100: write the result as a percentage.

The denominator is the whole secret. A percentage change is always measured against the original value, because the question is “how big is this move compared with where I started?” A change of 30 is 50% of 60 but only 33.33% of 90 — same gap, different bases, different percentages. The percentage increase calculator above always divides by the original, and the absolute-value bars keep the denominator positive even when the base itself is negative.

A price rises from 60 to 90. What is the percentage increase?

1. Find the change: $90-60=30$.
2. Divide by the original: $30\div60=0.5$.
3. Multiply by 100: $0.5\times100=50$.

So the price rose by 50%. In words: the increase of 30 is exactly half of the starting 60, so the new price is 150% of the old one — the original 100% plus another 50%.

The percentage increase calculator above confirms all three rows at once: percentage change +50%, absolute change 30, new value at 150% of the original. Whenever a word problem says “from ... to ...”, the number after “from” is your original — it goes in the first box, and it is the one the division uses. Swap the two numbers and you are answering a different question, the fall from 90 to 60, which comes next.

Now the reverse trip. A price falls from 90 to 60. What is the percentage change?

1. Find the change: $60-90=-30$.
2. Divide by the original: $-30\div90=-0.3333\ldots$
3. Multiply by 100: about $-33.33\%$.

The price fell by about 33.33% — a decrease of one third. Notice what did not happen: the answer is not $-50\%$. The same 30-point move is spread over a bigger base this time (90 instead of 60), so it counts as a smaller percentage.

This is the everyday job of a percentage increase calculator: discounts, markups, population shifts, battery drain. One reading rule covers them all — a minus sign means the value went down, and the size is always measured against where you started. The percentage increase calculator keeps the sign so you can tell a rise from a fall at a glance.

Here is the trap that catches even careful students. A price rises 10%, then rises another 10%. Is the total increase 20%?

No — and the percentage increase calculator can prove it.

1. A 10% increase multiplies the value by 1.10.
2. The second 10% multiplies the new, larger value by 1.10 again.
3. Chain the multipliers: $1.10\times1.10=1.21$.
4. An ending value of 1.21 times the start is a total change of +21%, not +20%.

Percentage changes multiply, they do not add, because each new percentage is measured against a base that has already moved. The same logic kills the “wash” myth: rise 10% then fall 10% and you get $1.10\times0.90=0.99$ — you end 1% below where you began, since the fall worked on the larger base. When a problem stacks percentages, convert each step to a multiplier, multiply them, and only then read off the overall percentage increase.

1. Dividing by the new value. The base of a percentage change is the original. Dividing 30 by 90 when the move was from 60 to 90 quietly turns a +50% increase into 33.33% — the percentage increase calculator always divides by the original box.
2. Adding successive percentages. +10% then +10% is +21%, not +20%; +10% then −10% leaves you at 99% of the start. Chain multipliers instead of adding.
3. Confusing percent with percentage points. If a rate moves from 4% to 6%, that is a rise of 2 percentage points — but as a percentage increase it is $(6-4)\div4=50\%$. Answer with the vocabulary the question uses.
4. Swapping the boxes. Original in the first box, new in the second. Reversing them answers a different question — a fall of 33.33% instead of a rise of 50% — and both numbers are wrong for your problem.