Discount and VAT
For a discount, we multiply the price by the share we pay: a 30% discount on 450 kr gives 450 · 0.70 = 315 kr. We add VAT of 25% with · 1.25 and remove it with ÷ 1.25.
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Discount: how much do we pay?
The original price is the whole, 100%. With a 30% discount we pay 100% − 30% = 70%.
We want to know what we pay after the discount.
450 · 0.70 = 315
Read carefully: "you save 135 kr" is the discount, "now 315 kr" is the price after the discount.
VAT in Sweden
VAT ("moms" in Swedish) is a tax on the price. The price without VAT is the whole, and the VAT is worked out as a share of it.
According to the Swedish Tax Agency (Skatteverket), VAT is 25%, 12% or 6%. The rate on food is 6% from 1 April 2026 up to and including 31 December 2027.
| VAT rate | Change factor | Examples (Skatteverket, 2026) |
|---|---|---|
| 25% | 1.25 | most goods and services |
| 12% | 1.12 | restaurants, hotels |
| 6% | 1.06 | food, books, buses and trains |
Adding and removing VAT
price with VAT = price without VAT · 1.25
To go backwards, we divide by 1.25. Division undoes the multiplication.
price without VAT = price with VAT ÷ 1.25
Do not take 25% off the price with VAT. The VAT is 25 ÷ 125 = 0.2, so 20% of the price with VAT.
Example
Example 1: A jumper with a 30% discount
A jumper costing 450 kr is sold at a 30% discount. We want to know what we pay.
The discount in kronor: 30% is 0.30.
0.30 · 450 = 135
We subtract the discount from the original price.
450 − 135 = 315
A shorter way: we pay 100% − 30% = 70% of the price.
0.70 · 450 = 315
We pay 315 kr.
315 ÷ 450 = 0.7, so 70%. And 135 + 315 = 450. That is correct.
Example 2: Adding 25% VAT
Headphones cost 800 kr without VAT. We want to know the price with 25% VAT.
The VAT is 25% of the price without VAT.
0.25 · 800 = 200
The customer pays the price without VAT plus the VAT.
800 + 200 = 1 000
A shorter way: the price with VAT is 125% of the price without VAT.
800 · 1.25 = 1 000
The price with VAT is 1 000 kr, of which 200 kr is VAT.
200 ÷ 800 = 0.25, so 25% of the price without VAT. But 200 ÷ 1 000 = 0.2: the VAT is 20% of the price with VAT.
Example 3: Removing the VAT from a receipt
A receipt shows 1 500 kr including 25% VAT. We want to know the price without VAT and the VAT.
Price without VAT · 1.25 = 1 500. We want the price without VAT on its own, so we divide both sides by 1.25.
1 500 ÷ 1.25 = 1 200
The price without VAT is 1 200 kr. The VAT is the difference.
1 500 − 1 200 = 300
The VAT of 300 kr is 20% of 1 500 kr, not 25%.
300 ÷ 1 500 = 0.2
1 200 · 1.25 = 1 500. We are back at the amount on the receipt, so it is correct.
Pitfalls
Taking 25% off the price with VAT, so that 1 500 kr becomes 1 500 · 0.75 = 1 125 kr.
The VAT was worked out on the price without VAT. Divide by 1.25: 1 500 ÷ 1.25 = 1 200 kr.
Adding the percentage back on to find the original price, so that 360 kr after a 20% discount becomes 360 · 1.2 = 432 kr.
360 kr is 80% of the original price: 360 ÷ 0.8 = 450 kr. Check: 450 · 0.8 = 360.
Adding two discounts together, so that 20% and then an extra 10% becomes 30%.
The second discount is worked out on the reduced price: 0.8 · 0.9 = 0.72. We pay 72%, so the discount is 28%.
Practise on your own
0 of 4 correct1A pair of trousers costs 600 kr and is sold at a 25% discount. What is the price?
2A lamp costs 360 kr without VAT. The VAT is 25%. What does the lamp cost with VAT?
3An invoice is for 2 000 kr including 25% VAT. How many kronor is the VAT?
4A jacket costs 960 kr after a 20% discount. What was the original price?
More walkthroughs with Fox
Common questions
How much is VAT in Sweden?
According to the Swedish Tax Agency (Skatteverket), the standard VAT rate is 25%. Restaurants and hotels have 12%, books and passenger transport 6%. The rate on food is 6% from 1 April 2026 up to and including 31 December 2027.
Why do you divide by 1.25 instead of taking off 25%?
The VAT is 25% of the price without VAT, so the price with VAT is 125%. We divide by 1.25 to get back to 100%.
How do you work out the percentage discount you got?
Divide the discount in kronor by the original price. From 500 kr to 400 kr: 100 ÷ 500 = 0.2, so 20%.
How do you remove 6% VAT on food?
Divide the price by 1.06. 530 kr with 6% VAT is 530 ÷ 1.06 = 500 kr without VAT, and the VAT is 30 kr.
Read also
- Years 6–9How to calculate percentagesHow do you calculate a percentage?
- Years 8–9 and upper secondaryChange factor (percentage multiplier)What is a change factor and how do you use it?
- Years 7–9Percentage change: increase and decreaseHow do you work out a percentage increase or decrease?
- Years 5–9Fractions, decimals and percentagesHow do you convert fractions to decimals and percentages?
Keep practising with Somokai
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Start practising for freeSources: Momssatser och undantag från moms, Livsmedelsmomsen sänks till 6 procent
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