20 is what percent of 177.25 - 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 177.25 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 177.25, so we can write it down as 100%=177.25.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=177.25
2) x%=20
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%=177.25/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 177.25

100%/x%=177.25/20
(100/x)*x=(177.25/20)*x       - we multiply both sides of the equation by x
100=8.8625*x       - we divide both sides of the equation by (8.8625) to get x
100/8.8625=x
11.283497884344=x
x=11.283497884344

now we have:
20 is 11.283497884344% of 177.25