37.32 is what percent of 4.27 - 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 4.27 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 4.27, so we can write it down as 100%=4.27.
4. We know, that x% equals 37.32 of the output value, so we can write it down as x%=37.32.
5. Now we have two simple equations:
1) 100%=4.27
2) x%=37.32
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%=4.27/37.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.32 is what percent of 4.27

100%/x%=4.27/37.32
(100/x)*x=(4.27/37.32)*x       - we multiply both sides of the equation by x
100=0.11441586280815*x       - we divide both sides of the equation by (0.11441586280815) to get x
100/0.11441586280815=x
874.00468384075=x
x=874.00468384075

now we have:
37.32 is 874.00468384075% of 4.27