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Percentage Calculator

The complete toolkit for all your percentage calculations

Difference %

Calculate the difference between two numbers in percentage.

📐 See formula

Example: Between 100 and 120 = 20%

Variation %

Calculate the variation between a number and a percentage.

📐 See formula

Example : 100 ±10% = 110 or 90

Simple variation

Calculate the simple variation between two values.

📐 See formula

Example: 200 250 = +25%

Value in %

Find the percentage of a number relative to a second number.

📐 See formula

Example: 100 = 10% of 1000

Coefficient ×

Calculate the multiplicative coefficient between two numbers.

📐 See formula

Example: 1000 = 100 × 10

Before addition

Calculate the value before an increase.

📐 See formula

Example: 110+10% = 100 Before addition

Before discount

Calculate the value before a discount.

📐 See formula

Example: 130 before -10% = 117

Addition %

Calculate the value after adding a percentage.

📐 See formula

Example: 100+10% = 110

Deduction %

Calculate the value after deducting a percentage.

📐 See formula

Example: 100-10% = 90

💡 Calculations with VAT Included or without VAT

🔢 Pre-tax → Tax-inclusive

100€ Ex. VAT + 10% of taxes = 110€ Inc. VAT
+10% of taxes of 100€ Ex. VAT = 10€ of taxes

🔢 Tax-inclusive → Pre-tax

110€ Inc. VAT with 10% of taxes = 100€ Ex. VAT
110€ Inc. VAT - 100€ Ex. VAT = 10€ of taxes

🏷️ Practical discount calculation examples

🔻 Apply a discount

150€ - 20% of discount = 120€
discount of 20% on 150€ = 30€ of savings
You save 30€ thanks to this discount

🔍 Find the original price

120€ after 20% of discount = 150€ original price
original price 150€ - 30€ discount = 120€
The discount was 30€

🎯 Cascade discounts (example)

Initial price
200€
1st discount (-30%)
140€
(-60€)
2nd discount (-10%)
126€
(-14€)
💡 Total savings : 74€ (37% of initial price)

📝 Remember : Cascade discounts don't add up! A 30% then 10% discount ≠ 40% total discount. Each discount applies to the already reduced price.

SLA (Service Level Agreement) calculation examples

Calculate uptime

8736h uptime / 8760h total = 99.73% availability
Downtime : 24h (0.27%)
Good SLA level, satisfactory availability

⏱️ Allowed downtime

8760h total period × 0.1% Allowed downtime = 8.76h max downtime
max downtime : 526 minutes / 0.4 days
Downtime budget: 8.76h per year

📊 Standard SLA levels (per year)

99%
87.6h/an
Basic
99.9%
8.76h/an
Good
99.99%
52.6min/an
Excellent
99.999%
5.3min/an
Exceptional

🔧 Technical note : SLA measures service availability. The higher the percentage, the less downtime is allowed. A 99.9% SLA only permits 8h45 of downtime per year!

📐 Basic Calculation Formulas

🔢 Percentage Difference

Formula:
|Value2 - Value1| ÷ Value1 × 100
Example:
Difference between 100 and 120 :
|120 - 100| ÷ 100 × 100 = 20%
Use case: Compare prices, performance, statistics

📊 Variation with %

Formula:
Number × (Percentage ÷ 100)
Example:
±10% on 100 :
Increase: 100 + (100 × 10/100) = 110
Decrease: 100 - (100 × 10/100) = 90
Use case: Quick increase/decrease calculations

📈 Rate of Change

Formula:
(Final value - Initial value) ÷ Initial value × 100
Example:
From 200 to 250 :
(250 - 200) ÷ 200 × 100 = +25%
Use case: Sales evolution, performance

🎯 Value as %

Formula:
Part ÷ Total × 100
Example:
100 = what % of 1000 ?
100 ÷ 1000 × 100 = 10%
Use case: Market shares, proportions

✖️ Multiplier Coefficient

Formula:
Value2 ÷ Value1
Example:
100 ÷ 50 = 2
Verification : 50 × 2 = 100 ✓
Use case: Proportionality, scales, ratios

🎓 Advanced Formulas

🔍 Price Before Discount

Formula:
Discounted price ÷ (1 - Percentage/100)
Example:
$90 after -10% discount :
90 ÷ (1 - 10/100) = 90 ÷ 0.9 = $100
Use case: Find prices before sales

🔙 Value Before Increase

Formula:
Final value ÷ (1 + Percentage/100)
Example:
$110 after +10% :
110 ÷ (1 + 10/100) = 110 ÷ 1.1 = $100
Use case: Tax-incl → Pre-tax

Add a %

Formula:
Value × (1 + Percentage/100)
Example:
$100 + 20% :
100 × (1 + 20/100) = 100 × 1.2 = $120
Use case: Tax-inclusive price, markup

Deduct a %

Formula:
Value × (1 - Percentage/100)
Example:
$100 - 20% :
100 × (1 - 20/100) = 100 × 0.8 = $80
Use case: Discounts, sale prices

Professional calculator - All your percentage calculations in one click

Understanding Percentages

A simple and practical guide to master all percentage calculations

What is a percentage?

A percentage is a way to represent a fraction of a quantity relative to a hundred. It's a way to compare a part to a whole, noted with the "%" symbol.

💡 Concrete example:

If you get 80% on a test, it means you got 80 points out of 100 possible.

Difference between two numbers

Formula:

(Number 1 ÷ Number 2) × 100

Example:

20 ÷ 80 = 0.25 0.25 × 100 = 25% 20 therefore corresponds to 25% of 80

Multiplier coefficient

Formula:

Number 1 ÷ Number 2 = coefficient

Example:

25 ÷ 50 = 0.5 Verification: 50 × 0.5 = 25 ✓

Reduction calculations (sales)

📉 Price after reduction

Formula:

Price A × (1 - percentage/100)

Example:

€50 with 10% discount €50 × (1 - 10/100) = €50 × 0.9 = €45

📈 Price before reduction

Formula:

Price B ÷ (1 - percentage/100)

Example:

€45 after 10% discount €45 ÷ (1 - 10/100) = €45 ÷ 0.9 = €50

Why are percentages important?

💰 Finance

Calculating discounts, interest, price increases, investments

🔬 Sciences

Representing proportions, growth rates, statistics

🎓 Education

Performance grading, calculating averages, evaluations

Conclusion

Percentage is a powerful mathematical tool for representing fractions relative to a hundred. Mastering percentage calculations is an essential skill that allows you to better manage your finances, interpret data and make informed decisions in daily life.