237.63 is what percent of 742.085 - 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 742.085 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 742.085, so we can write it down as 100%=742.085.
4. We know, that x% equals 237.63 of the output value, so we can write it down as x%=237.63.
5. Now we have two simple equations:
1) 100%=742.085
2) x%=237.63
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%=742.085/237.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 237.63 is what percent of 742.085

100%/x%=742.085/237.63
(100/x)*x=(742.085/237.63)*x       - we multiply both sides of the equation by x
100=3.1228590666162*x       - we divide both sides of the equation by (3.1228590666162) to get x
100/3.1228590666162=x
32.021938187674=x
x=32.021938187674

now we have:
237.63 is 32.021938187674% of 742.085