285.83 is what percent of 328.17 - 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 328.17 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 328.17, so we can write it down as 100%=328.17.
4. We know, that x% equals 285.83 of the output value, so we can write it down as x%=285.83.
5. Now we have two simple equations:
1) 100%=328.17
2) x%=285.83
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%=328.17/285.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.83 is what percent of 328.17

100%/x%=328.17/285.83
(100/x)*x=(328.17/285.83)*x       - we multiply both sides of the equation by x
100=1.148130007347*x       - we divide both sides of the equation by (1.148130007347) to get x
100/1.148130007347=x
87.098150348905=x
x=87.098150348905

now we have:
285.83 is 87.098150348905% of 328.17