# Recalculate the full price of a purchase with a different new Sales tax or VAT (Value added tax), formula and explanation

## The latest prices recalculated with new Sales taxes or VATs

 173 recalculated from 24% initial tax included value to 20% new tax included value = 167.42 Mar 24 06:38 UTC (GMT) 583 recalculated from 24% initial tax included value to 20% new tax included value = 564.19 Mar 24 06:25 UTC (GMT) 535 recalculated from 24% initial tax included value to 20% new tax included value = 517.74 Mar 24 06:21 UTC (GMT) 11,500 recalculated from 12% initial tax included value to 12% new tax included value = 11,500 Mar 24 06:20 UTC (GMT) 659 recalculated from 24% initial tax included value to 20% new tax included value = 637.74 Mar 24 06:19 UTC (GMT) 96 recalculated from 24% initial tax included value to 20% new tax included value = 92.9 Mar 24 06:18 UTC (GMT) 12.85 recalculated from 19% initial tax included value to 19% new tax included value = 12.85 Mar 24 06:17 UTC (GMT) - 630 recalculated from 20% initial tax included value to 19% new tax included value = - 624.75 Mar 24 06:16 UTC (GMT) 970 recalculated from 24% initial tax included value to 20% new tax included value = 938.71 Mar 24 06:15 UTC (GMT) 230 recalculated from 24% initial tax included value to 20% new tax included value = 222.58 Mar 24 06:15 UTC (GMT) 17.86 recalculated from 24% initial tax included value to 20% new tax included value = 17.28 Mar 24 06:14 UTC (GMT) 235 recalculated from 24% initial tax included value to 9% new tax included value = 206.57 Mar 24 06:12 UTC (GMT) 344 recalculated from 24% initial tax included value to 20% new tax included value = 332.9 Mar 24 06:11 UTC (GMT) All the prices recalculated with new Sales taxes or VATs

## Having an initial full tax included price purchase, how to recalculate it to a new different tax included value (Sales tax or VAT)?

### Step 1: Calculate the Tax free value out of the Full initial tax inclusive value

• Full initial tax included value = Tax free value + Tax value
• Tax value = Tax% × Tax free value
• Full initial tax included value = Tax free value + Tax% × Tax free value = (1 + Tax%) × Tax free value
• #### Full initial tax included value = (1 + Tax%) × Tax free value

In conclusion:

### Step 2: Add the new tax value to the Tax free value

• Full new tax included value = Tax free value + New tax value
• New tax value = New tax% × Tax free value
• Full new tax included value = Tax free value + New tax% × Tax free value = (1 + New tax%) × Tax free value
• In conclusion, Full new tax included value = (1 + New tax%) × Tax free value = (1 + New tax%) × Full initial tax included value ÷ (1 + Existent tax%) = (1 + New tax%)/(1 + Existent tax%) × Full initial tax included value

### Examples of calculating a new tax included value from an initial tax included value:

• Case 1: Existent tax = 20%, New tax = 19%

Step 1, Calculate Tax free value:
(1 + Existent tax%) = 1 + 20% = 100/100 + 20/100 = 120/100 = 1.2 => Initial tax included value = 1.2 × Tax free value, and Tax free value = Initial tax included value ÷ 1.2

Step 2, Add the new tax value:
New tax included value = (1 + New tax%) × Free tax value = (1 + 19%) × Tax free value = (100/100 + 19/100) × Tax free value = 119/100 × Tax free value = 1.19 × Tax free value = 1.19 × Initial tax included value ÷ 1.2 = 1.19/1.2 × Initial tax included value
Answer: New tax included value = (1.19 ÷ 1.2) × Initial tax included value
• Case 2: Existent tax = 20%, New tax = 5%

Step 1, Calculate Tax free value:
(1 + Existent tax%) = 1 + 20% = 100/100 + 20/100 = 120/100 = 1.2 => Initial tax included value = 1.2 × Tax free value, and Tax free value = Initial tax included value ÷ 1.2

Step 2, Add the new tax value:
New tax included value = (1 + New tax%) × Free tax value = (1 + 5%) × Tax free value = (100/100 + 5/100) × Tax free value = 105/100 × Tax free value = 1.05 × Tax free value = 1.05 × Initial tax included value ÷ 1.2 = 1.05/1.2 × Initial tax included value
Answer: New tax included value = (1.05 ÷ 1.2) × Initial tax included value.