27.39 is what percent of 37.85 - 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 37.85 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 37.85, so we can write it down as 100%=37.85.
4. We know, that x% equals 27.39 of the output value, so we can write it down as x%=27.39.
5. Now we have two simple equations:
1) 100%=37.85
2) x%=27.39
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%=37.85/27.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.39 is what percent of 37.85

100%/x%=37.85/27.39
(100/x)*x=(37.85/27.39)*x       - we multiply both sides of the equation by x
100=1.3818912011683*x       - we divide both sides of the equation by (1.3818912011683) to get x
100/1.3818912011683=x
72.364597093791=x
x=72.364597093791

now we have:
27.39 is 72.364597093791% of 37.85