20 is what percent of 172.5 - 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 172.5 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 172.5, so we can write it down as 100%=172.5.
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%=172.5
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%=172.5/20
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 172.5

100%/x%=172.5/20
(100/x)*x=(172.5/20)*x       - we multiply both sides of the equation by x
100=8.625*x       - we divide both sides of the equation by (8.625) to get x
100/8.625=x
11.594202898551=x
x=11.594202898551

now we have:
20 is 11.594202898551% of 172.5