What is the value of the VAT when you know the percentage and final sum Assuming we have the final value 444,14. Knowing that this final value includes a 24% VAT, what was the amount of the VAT? I can figure out the sum before the VAT like this: (444,14 / 124) * 100 = 358,18. However I have some hard time calculating the actual VAT amount. I know I can do 444,14 - 358,18 = 85,96 but how can I figure out this 85,96 if I know only the final value 444,14 and that includes a 24% value?

Let $final\;value=V$ and $percentage=p\%$

Then $VAT=V-\dfrac{100}{100+p}\,V=V\left(1-\dfrac{100}{100+p}\right)=V\,\dfrac{p}{100+p}$

$$VAT=V\frac{p}{100+p}$$

Hope this helps