20.63 is what percent of 76.037 - 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 76.037 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 76.037, so we can write it down as 100%=76.037.
4. We know, that x% equals 20.63 of the output value, so we can write it down as x%=20.63.
5. Now we have two simple equations:
1) 100%=76.037
2) x%=20.63
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%=76.037/20.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.63 is what percent of 76.037

100%/x%=76.037/20.63
(100/x)*x=(76.037/20.63)*x       - we multiply both sides of the equation by x
100=3.6857489093553*x       - we divide both sides of the equation by (3.6857489093553) to get x
100/3.6857489093553=x
27.13152807186=x
x=27.13152807186

now we have:
20.63 is 27.13152807186% of 76.037