0.37 is what percent of 3.13 - 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 3.13 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 3.13, so we can write it down as 100%=3.13.
4. We know, that x% equals 0.37 of the output value, so we can write it down as x%=0.37.
5. Now we have two simple equations:
1) 100%=3.13
2) x%=0.37
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%=3.13/0.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.37 is what percent of 3.13

100%/x%=3.13/0.37
(100/x)*x=(3.13/0.37)*x       - we multiply both sides of the equation by x
100=8.4594594594595*x       - we divide both sides of the equation by (8.4594594594595) to get x
100/8.4594594594595=x
11.821086261981=x
x=11.821086261981

now we have:
0.37 is 11.821086261981% of 3.13