Pourcentage inversé

Calculateur en ligne gratuit : Pourcentage inversé. Obtenez un résultat précis et instantané avec formule détaillée.

Pourcentage inversé

Retrouvez la valeur initiale avant application du pourcentage

%
If Increase
0.00

V / (1 + P/100)

If Decrease
0.00

V / (1 - P/100)

Historique

Aucun calcul pour le moment.

Comment calculer

Original = Final ÷ (1 + P/100) [increase] or Final ÷ (1 − P/100) [decrease]

If a final value incorporates an increase of P percent, the original value is calculated by dividing the final value by (1 + P ÷ 100). If it incorporates a decrease of P percent, divide by (1 − P ÷ 100). This reverses the percentage scaling factor precisely.

* Exemple: Final $60 after 20% increase → Original $50

Guide de calcul manuel étape par étape

1

Étape 1 : Saisissez vos données dans le calculateur et visualisez le résultat selon la formule.

2

Étape 2 : Saisissez vos données dans le calculateur et visualisez le résultat selon la formule.

3

Étape 3 : Saisissez vos données dans le calculateur et visualisez le résultat selon la formule.

Applications concrètes

Tax Auditing & Accounting

Finding the original pre-VAT price of a receipt total of $115 when VAT is 15% ($115 ÷ 1.15 = $100 original).

Retail Discount Recovery

Determining the original list price of a discounted item purchased for $80 after a 20% sale ($80 ÷ 0.80 = $100 list price).

Payroll Base Salary Calculation

Uncovering a worker's base pay prior to a 10% performance bonus payout.

Pourcentage inverséExemples concrets

Exemple1
Final $60 after 20% increase
Résultat: Original $50
Exemple2
Final $80 after 20% decrease
Résultat: Original $100
Exemple3
Final $126 after 5% VAT
Résultat: Original $120

Comment ça marche

Reverse percentage calculations allow you to work backward from a final total amount to find the original pre-tax, pre-discount, or pre-raise starting value. This tool is invaluable when auditing receipts, determining original wholesale costs before tax additions, or calculating base salaries from total compensation.

Foire aux questions

How do I calculate the original price before a discount?

Divide the discounted price by (1 - discount percentage as a decimal). For example, if a jacket cost $60 after a 25% discount, divide $60 by 0.75 to get $80.

Why can't I just add the percentage back to the final number?

Because percentages scale relative to the base they are applied to. Adding 20% to $80 gives $96, not the true original $100 price, because 20% of $80 is smaller than 20% of $100.

Does reverse percentage work for calculating pre-tax amounts?

Yes, to find the pre-tax price, divide the total tax-inclusive price by (1 + tax rate as a decimal).