37.1 is what percent of 32.7 - 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 32.7 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 32.7, so we can write it down as 100%=32.7.
4. We know, that x% equals 37.1 of the output value, so we can write it down as x%=37.1.
5. Now we have two simple equations:
1) 100%=32.7
2) x%=37.1
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%=32.7/37.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.1 is what percent of 32.7

100%/x%=32.7/37.1
(100/x)*x=(32.7/37.1)*x       - we multiply both sides of the equation by x
100=0.88140161725067*x       - we divide both sides of the equation by (0.88140161725067) to get x
100/0.88140161725067=x
113.45565749235=x
x=113.45565749235

now we have:
37.1 is 113.45565749235% of 32.7