20.13 is what percent of 57.19 - 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 57.19 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 57.19, so we can write it down as 100%=57.19.
4. We know, that x% equals 20.13 of the output value, so we can write it down as x%=20.13.
5. Now we have two simple equations:
1) 100%=57.19
2) x%=20.13
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%=57.19/20.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.13 is what percent of 57.19

100%/x%=57.19/20.13
(100/x)*x=(57.19/20.13)*x       - we multiply both sides of the equation by x
100=2.8410332836562*x       - we divide both sides of the equation by (2.8410332836562) to get x
100/2.8410332836562=x
35.198461269453=x
x=35.198461269453

now we have:
20.13 is 35.198461269453% of 57.19