585.33 is what percent of 38032.7 - 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 38032.7 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 38032.7, so we can write it down as 100%=38032.7.
4. We know, that x% equals 585.33 of the output value, so we can write it down as x%=585.33.
5. Now we have two simple equations:
1) 100%=38032.7
2) x%=585.33
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%=38032.7/585.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 585.33 is what percent of 38032.7

100%/x%=38032.7/585.33
(100/x)*x=(38032.7/585.33)*x       - we multiply both sides of the equation by x
100=64.976508977842*x       - we divide both sides of the equation by (64.976508977842) to get x
100/64.976508977842=x
1.5390177399974=x
x=1.5390177399974

now we have:
585.33 is 1.5390177399974% of 38032.7