37.31 is what percent of 30.88 - 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 30.88 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 30.88, so we can write it down as 100%=30.88.
4. We know, that x% equals 37.31 of the output value, so we can write it down as x%=37.31.
5. Now we have two simple equations:
1) 100%=30.88
2) x%=37.31
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%=30.88/37.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.31 is what percent of 30.88

100%/x%=30.88/37.31
(100/x)*x=(30.88/37.31)*x       - we multiply both sides of the equation by x
100=0.82766014473332*x       - we divide both sides of the equation by (0.82766014473332) to get x
100/0.82766014473332=x
120.8225388601=x
x=120.8225388601

now we have:
37.31 is 120.8225388601% of 30.88