37.41 is what percent of 705.2 - 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 705.2 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 705.2, so we can write it down as 100%=705.2.
4. We know, that x% equals 37.41 of the output value, so we can write it down as x%=37.41.
5. Now we have two simple equations:
1) 100%=705.2
2) x%=37.41
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%=705.2/37.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.41 is what percent of 705.2

100%/x%=705.2/37.41
(100/x)*x=(705.2/37.41)*x       - we multiply both sides of the equation by x
100=18.850574712644*x       - we divide both sides of the equation by (18.850574712644) to get x
100/18.850574712644=x
5.3048780487805=x
x=5.3048780487805

now we have:
37.41 is 5.3048780487805% of 705.2