10.37 is what percent of 31.37 - 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 31.37 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 31.37, so we can write it down as 100%=31.37.
4. We know, that x% equals 10.37 of the output value, so we can write it down as x%=10.37.
5. Now we have two simple equations:
1) 100%=31.37
2) x%=10.37
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%=31.37/10.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.37 is what percent of 31.37

100%/x%=31.37/10.37
(100/x)*x=(31.37/10.37)*x       - we multiply both sides of the equation by x
100=3.0250723240116*x       - we divide both sides of the equation by (3.0250723240116) to get x
100/3.0250723240116=x
33.057060886197=x
x=33.057060886197

now we have:
10.37 is 33.057060886197% of 31.37