Work Backwards

    Reverse Percentage Calculator

    Know what a percentage of a number is? Work backwards to find the original whole.

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    Enter values above to see the result

    Quick Examples

    Understanding Work Backwards

    A reverse percentage calculator is a tool used to find the original value of something when you only know its current value and what percentage that represents of the whole. It's called "reverse" because you are working backwards from the result to the start. For example, if you know that $30 is 25% of a total price, what is the total price? ($120). This is incredibly useful for finding pre-tax prices (like VAT or GST), calculating the original cost of a discounted item, or determining the total points in an exam when you know your percentage score and point total.

    Step-by-Step Examples

    See how the math works in these common real-world scenarios.

    1

    Tax Reverse

    If $120 is 20% of a bill, the total bill before that specific portion was calculated was $600.

    2

    Discount Original Price

    If $75 represents 75% of the original price (after a 25% discount), the original price was $100.

    3

    Exam Score Total

    If you scored 42 points which is 70% of the total, the exam was worth 60 points in total.

    Practical Applications

    Where and why people use this calculator every day.

    Tax Calculations

    Calculate pre-VAT or pre-GST prices when you only know the tax amount.

    Retail & Discounts

    Find out what an item originally cost before it was marked down.

    Exam Marks

    Determine the total marks available when you know your grade and points.

    Budgets

    If a project phase cost $5,000 and was 10% of budget, find the total budget.

    Common Questions

    Everything you need to know about Work Backwards calculations.