261.87 is what percent of 288.96 - 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 288.96 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 288.96, so we can write it down as 100%=288.96.
4. We know, that x% equals 261.87 of the output value, so we can write it down as x%=261.87.
5. Now we have two simple equations:
1) 100%=288.96
2) x%=261.87
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%=288.96/261.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.87 is what percent of 288.96

100%/x%=288.96/261.87
(100/x)*x=(288.96/261.87)*x       - we multiply both sides of the equation by x
100=1.1034482758621*x       - we divide both sides of the equation by (1.1034482758621) to get x
100/1.1034482758621=x
90.625=x
x=90.625

now we have:
261.87 is 90.625% of 288.96