288.13 is what percent of 320.16 - 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 320.16 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 320.16, so we can write it down as 100%=320.16.
4. We know, that x% equals 288.13 of the output value, so we can write it down as x%=288.13.
5. Now we have two simple equations:
1) 100%=320.16
2) x%=288.13
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%=320.16/288.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.13 is what percent of 320.16

100%/x%=320.16/288.13
(100/x)*x=(320.16/288.13)*x       - we multiply both sides of the equation by x
100=1.1111650990872*x       - we divide both sides of the equation by (1.1111650990872) to get x
100/1.1111650990872=x
89.995627186407=x
x=89.995627186407

now we have:
288.13 is 89.995627186407% of 320.16