250.03 is what percent of 288.75 - 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 288.75 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 288.75, so we can write it down as 100%=288.75.
4. We know, that x% equals 250.03 of the output value, so we can write it down as x%=250.03.
5. Now we have two simple equations:
1) 100%=288.75
2) x%=250.03
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%=288.75/250.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.03 is what percent of 288.75

100%/x%=288.75/250.03
(100/x)*x=(288.75/250.03)*x       - we multiply both sides of the equation by x
100=1.15486141663*x       - we divide both sides of the equation by (1.15486141663) to get x
100/1.15486141663=x
86.590476190476=x
x=86.590476190476

now we have:
250.03 is 86.590476190476% of 288.75