Answer:
We can use this equation to solve this problem:
t = p + ( p ⋅ r )
Where:
t = is the total price paid: 58.31 for this problem
p = is the price before taxes: What we are solving for in this problem.
r = is the tax or VAT rate: 19% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 19% can be written as
19/100
or
0.19
.
Substituting and solving for
p gives:
58.31 = p + ( p ⋅ 0.19 )
58.31 = 1p + 0.19p
58.31 = ( 1 + 0.19 )p
58.31 = 1.19p
58.31/1.19 = 1.19p/1.19
p = 49
Now, the tax paid is 58.31 - 49 which is 9.31.