930.42 is what percent of 1401.29 - 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 1401.29 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 1401.29, so we can write it down as 100%=1401.29.
4. We know, that x% equals 930.42 of the output value, so we can write it down as x%=930.42.
5. Now we have two simple equations:
1) 100%=1401.29
2) x%=930.42
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%=1401.29/930.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 930.42 is what percent of 1401.29

100%/x%=1401.29/930.42
(100/x)*x=(1401.29/930.42)*x       - we multiply both sides of the equation by x
100=1.5060832742202*x       - we divide both sides of the equation by (1.5060832742202) to get x
100/1.5060832742202=x
66.397390975458=x
x=66.397390975458

now we have:
930.42 is 66.397390975458% of 1401.29