31.53 is what percent of 370.35 - 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 370.35 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 370.35, so we can write it down as 100%=370.35.
4. We know, that x% equals 31.53 of the output value, so we can write it down as x%=31.53.
5. Now we have two simple equations:
1) 100%=370.35
2) x%=31.53
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%=370.35/31.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.53 is what percent of 370.35

100%/x%=370.35/31.53
(100/x)*x=(370.35/31.53)*x       - we multiply both sides of the equation by x
100=11.74595623216*x       - we divide both sides of the equation by (11.74595623216) to get x
100/11.74595623216=x
8.5135682462535=x
x=8.5135682462535

now we have:
31.53 is 8.5135682462535% of 370.35