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How do you work out what the original value was if you only know the final figure and a percentage?

For example: working out the original pre vat value when you only know the percentage and final figure?

Answers
Perhaps an example would help. Let the original price be £1. Let the VAT be 20%. You pay 120%. (That's 100% of the price + 20% of the price.) So you pay £1.20. So Final Price = (100% + rate%) x original price. To get the original price you divide the Final price by (in this example) 1.2 Try a few examples yourself, the pattern will emerge.
ianmoth
20 December 2011
I want to know original value
Maxamed Abdi Ali
06 November 2022
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Similar questions

How to Find 1 Percent of a Number

Introduction

Have you ever seen a 5% discount in a shop or needed to calculate a 15% tip? All percentage calculations, no matter how complex, are built on one simple, core skill: finding 1 percent.

The word "percent" literally means "per hundred." So, 1% is simply one part out of one hundred.

Once you know how to find 1% of a number, you can easily find any other percentage.

  • To find 5%, you just find 1% and multiply it by 5.
  • To find 20%, you find 1% and multiply it by 20.
  • To find 72%, you find 1% and multiply it by 72.

This guide will show you the one simple trick to find 1% of any number instantly.

The Key Method: Finding 1%

Because 1% means "one out of one hundred" (£1/100£), finding 1% of a number is the same as dividing that number by 100.

The fastest way to divide any number by 100 is to move the decimal point two places to the left.

That's the entire trick.

Worked Example 1: A simple number

Find 1% of 300.

  • The number is 300. The decimal point is at the end: 300.
  • Move the decimal two places to the left: 3.00
  • Answer: 1% of 300 is 3.

Worked Example 2: A number with no zeros

Find 1% of 189.

  • The number is 189. The decimal point is at the end: 189.
  • Move the decimal two places to the left: 1.89
  • Answer: 1% of 189 is 1.89.

Worked Example 3: A number that already has a decimal

Find 1% of 84.5.

  • The number is 84.5.
  • Move the decimal two places to the left: 0.845
  • Answer: 1% of 84.5 is 0.845.

Worked Example 4: A very small decimal number

Find 1% of 0.7.

  • The number is 0.7.
  • Move the decimal two places to the left. We need to add zeros for the empty spaces: 0.007
  • Answer: 1% of 0.7 is 0.007.

Practice Questions & Solutions

1

Find 1% of 500.

Solution

To find 1% of 500, we move the decimal point two places to the left.

500. becomes 5.00

Answer: 5

2

Find 1% of 900.

Solution

To find 1% of 900, we move the decimal point two places to the left.

900. becomes 9.00

Answer: 9

3

Find 1% of 250.

Solution

o find 1% of 250, we move the decimal point two places to the left.

250. becomes 2.50

Answer: 2.5

4

Find 1% of 476.

Solution

To find 1% of 476, we move the decimal point two places to the left.

476. becomes 4.76

Answer: 4.76

5

Find 1% of 81.

Solution

To find 1% of 81, we move the decimal point two places to the left.

81. becomes 0.81

Answer: 0.81

6

A t-shirt costs £40. How much is 1% of its price?

Solution

To find 1% of £40, we move the decimal point two places to the left.

40. becomes 0.40

Answer: £0.40 (or 40p)

7

Find 1% of 15,200.

Solution

To find 1% of 15,200, we move the decimal point two places to the left.

15200. becomes 152.00

Answer: 152

8

Find 1% of 70.5.

Solution

To find 1% of 70.5, we move the decimal point two places to the left.

70.5 becomes 0.705

Answer: 0.705

9

Find 1% of 1.25.

Solution

To find 1% of 1.25, we move the decimal point two places to the left.

1.25 becomes 0.0125

Answer: 0.0125

10

A bank offers a 1% annual interest rate. If you deposit £5.50, how much interest would you earn in a year?

Solution

We need to find 1% of 5.50. We move the decimal point two places to the left.

5.50 becomes 0.0550

Answer: £0.055