32.21 is what percent of 71.35 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 71.35 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 71.35, so we can write it down as 100%=71.35.
4. We know, that x% equals 32.21 of the output value, so we can write it down as x%=32.21.
5. Now we have two simple equations:
1) 100%=71.35
2) x%=32.21
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=71.35/32.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.21 is what percent of 71.35

100%/x%=71.35/32.21
(100/x)*x=(71.35/32.21)*x       - we multiply both sides of the equation by x
100=2.2151505743558*x       - we divide both sides of the equation by (2.2151505743558) to get x
100/2.2151505743558=x
45.143658023826=x
x=45.143658023826

now we have:
32.21 is 45.143658023826% of 71.35