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Operation · percent off

70% off $25 is $7.5

A 70% discount means you pay 30% of the price: $25 × 0.3 = $7.5, saving $17.5.

Percent of, off, change Worked answer, not just a number Nothing leaves your browser
70% off 25
7.5
AMOUNT TO PAY

SOURCE·Arithmetic only — no external rate·REVIEWED JUL 2026

You pay7.5
You save17.5
Of the price30%

70% off 25 leaves 7.5 to pay — you save 17.5.

What is 70% off $25?

  • You pay: $7.5
  • You save: $17.5
  • Working: $25 × 30⁄100 = $7.5
  • Reverse check: $7.5 ÷ 0.3 = $25, the original price.

How percent off a price is worked out

  1. Subtract the discount P from 100. A 30% discount leaves 70 — the percentage of the price you still pay.
  2. Divide that by 100 and multiply the original price N by it. Working out what you pay directly is fewer steps, and fewer steps is fewer mistakes, than working out the saving and subtracting it.
  3. The saving is the difference between the original price and what you pay — shown separately so both numbers are on the page.
  4. The discount always applies to the original price, never to a price that has already been discounted. Two stacked discounts multiply; they do not add.
amount to pay = N × ((100 − P) ÷ 100)
saving        = N × (P ÷ 100)

Full method, rounding and worked examples →

SOURCE·Arithmetic only — no external rate·REVIEWED JUL 2026

The whole discount ladder on $25

Your discount is highlighted. Reading down the “you pay” column is the fastest way to sanity-check a sale sign — if the shelf price does not appear here, the sign is not describing the discount it claims.

DISCOUNTS ON $25 · JUL 2026
DiscountYou payYou saveOf the price
5% off$23.75$1.2595%
10% off$22.5$2.590%
15% off$21.25$3.7585%
20% off$20$580%
25% off$18.75$6.2575%
30% off$17.5$7.570%
40% off$15$1060%
50% off$12.5$12.550%
60% off$10$1540%
70% off$7.5$17.530%
75% off$6.25$18.7525%
80% off$5$2020%
90% off$2.5$22.510%

SOURCE·Arithmetic only — no external rate·REVIEWED JUL 2026

The four percentage calculations, and when each one applies

Every percentage question you will ever meet is one of four shapes. Naming the shape first is what stops the classic mistakes — and it is why this site keeps the four apart instead of putting one box on the page and hoping.

N × P⁄100

P% of N. Tips, commission, deposits, interest. 15% of $200 → $30.

N × (100−P)⁄100

P% off N. Sales and discounts — compute what you pay, not what you save. 30% off $80 → $56.

A ÷ B × 100

A is what % of B. Test scores, market share, progress. 42 of 60 → 70%.

(new−old) ÷ old × 100

% change. Price rises, growth, drops. 80 → 100 is +25%; 100 → 80 is −20%.

The base is everything

Nearly every percentage error is a wrong base — dividing by the new value instead of the old one, or taking a percentage of the discounted price instead of the original. The rule that fixes all of them: the base is the number the percentage is “of”, which in change problems is always the value you started from.

It is also why percentages do not add. A 20% rise followed by another 20% rise is not 40% — it is 44%, because the second rise acts on a bigger base (1.2 × 1.2 = 1.44). Compounding is just this effect repeated.

Mental shortcuts that survive real life

  • 10% is one decimal shift. 10% of $87.50 is $8.75. Nearly everything builds from this: 5% is half of it, 20% is double, 15% is one-and-a-half.
  • x% of y equals y% of x. 8% of 25 feels hard; 25% of 8 is obviously 2. Same number.
  • For discounts, think “what fraction do I pay”. 25% off means you pay ¾. A $59.99 jacket at 25% off is about $45 before you reach for a phone.

Percentage questions, answered

What is 70% off $25?
70% off $25 means you pay $7.5 and save $17.5. The quickest method is to compute what you pay directly: a 70% discount leaves 30% of the price, so $25 × 0.3 = $7.5.
If I paid $7.5 after 70% off, what was the original price?
$25. To reverse a discount, divide what you paid by the fraction of the price you paid: $7.5 ÷ 0.3 = $25. Do not add 70% back on to $7.5 — that gives $12.75, which is wrong, because the discount was taken off the larger number.
How do I work out a percentage of a number?
Turn the percentage into a decimal by dividing it by 100, then multiply. So 15% of 200 is 0.15 × 200 = 30. The reverse works too: multiplying by 1.15 adds 15% on top, which is why that shortcut appears everywhere from tipping to GST.
How do I take a percentage off a price?
Multiply the price by (100 minus the discount) divided by 100. A 30% discount means you pay 70% of the sticker price: $80 × 0.70 = $56. Working out what you pay directly is quicker and less error-prone than working out the saving and subtracting it.
How do I work out what percent one number is of another?
Divide the part by the whole and multiply by 100. Scoring 42 out of 60 is 42 ÷ 60 × 100 = 70%. The order matters — the number after 'of' is always the one you divide by.
How is percentage change calculated?
Take the change (new minus old), divide it by the original value, and multiply by 100. Going from 80 to 100 is a 25% increase (20 ÷ 80), but going from 100 back to 80 is only a 20% decrease (20 ÷ 100). The asymmetry trips people up constantly — the base is always the number you started from.
Why is a 50% increase not cancelled by a 50% decrease?
Because the base changes. Increase 100 by 50% and you have 150; decrease 150 by 50% and you are at 75, not 100. Successive percentages multiply rather than add — a 20% rise followed by a 20% fall leaves you at 96% of where you began.
What is a percentage point?
The absolute difference between two percentages. If interest rates go from 4% to 6%, that is a rise of 2 percentage points — but a 50% increase in the rate itself. News reports mix these up routinely, and the difference is enormous.
Does the calculator store what I type?
Only in your own browser, so your last calculation is still there when you come back. Nothing you enter is sent to a server.

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