27.68 is what percent of 37.01 - 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 37.01 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 37.01, so we can write it down as 100%=37.01.
4. We know, that x% equals 27.68 of the output value, so we can write it down as x%=27.68.
5. Now we have two simple equations:
1) 100%=37.01
2) x%=27.68
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%=37.01/27.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.68 is what percent of 37.01

100%/x%=37.01/27.68
(100/x)*x=(37.01/27.68)*x       - we multiply both sides of the equation by x
100=1.3370664739884*x       - we divide both sides of the equation by (1.3370664739884) to get x
100/1.3370664739884=x
74.790597135909=x
x=74.790597135909

now we have:
27.68 is 74.790597135909% of 37.01