237.31 is what percent of 1172.5 - 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 1172.5 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 1172.5, so we can write it down as 100%=1172.5.
4. We know, that x% equals 237.31 of the output value, so we can write it down as x%=237.31.
5. Now we have two simple equations:
1) 100%=1172.5
2) x%=237.31
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%=1172.5/237.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 237.31 is what percent of 1172.5

100%/x%=1172.5/237.31
(100/x)*x=(1172.5/237.31)*x       - we multiply both sides of the equation by x
100=4.940794741056*x       - we divide both sides of the equation by (4.940794741056) to get x
100/4.940794741056=x
20.239658848614=x
x=20.239658848614

now we have:
237.31 is 20.239658848614% of 1172.5