288.67 is what percent of 10258.13 - 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 10258.13 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 10258.13, so we can write it down as 100%=10258.13.
4. We know, that x% equals 288.67 of the output value, so we can write it down as x%=288.67.
5. Now we have two simple equations:
1) 100%=10258.13
2) x%=288.67
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%=10258.13/288.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.67 is what percent of 10258.13

100%/x%=10258.13/288.67
(100/x)*x=(10258.13/288.67)*x       - we multiply both sides of the equation by x
100=35.535836768629*x       - we divide both sides of the equation by (35.535836768629) to get x
100/35.535836768629=x
2.8140606523801=x
x=2.8140606523801

now we have:
288.67 is 2.8140606523801% of 10258.13