2677.5 is what percent of 2887.5 - 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 2887.5 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 2887.5, so we can write it down as 100%=2887.5.
4. We know, that x% equals 2677.5 of the output value, so we can write it down as x%=2677.5.
5. Now we have two simple equations:
1) 100%=2887.5
2) x%=2677.5
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%=2887.5/2677.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2677.5 is what percent of 2887.5

100%/x%=2887.5/2677.5
(100/x)*x=(2887.5/2677.5)*x       - we multiply both sides of the equation by x
100=1.078431372549*x       - we divide both sides of the equation by (1.078431372549) to get x
100/1.078431372549=x
92.727272727273=x
x=92.727272727273

now we have:
2677.5 is 92.727272727273% of 2887.5