88.36 is what percent of 37.7 - 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 37.7 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 37.7, so we can write it down as 100%=37.7.
4. We know, that x% equals 88.36 of the output value, so we can write it down as x%=88.36.
5. Now we have two simple equations:
1) 100%=37.7
2) x%=88.36
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%=37.7/88.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.36 is what percent of 37.7

100%/x%=37.7/88.36
(100/x)*x=(37.7/88.36)*x       - we multiply both sides of the equation by x
100=0.42666364870982*x       - we divide both sides of the equation by (0.42666364870982) to get x
100/0.42666364870982=x
234.37665782493=x
x=234.37665782493

now we have:
88.36 is 234.37665782493% of 37.7