752.5 is what percent of 840 - 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 840 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 840, so we can write it down as 100%=840.
4. We know, that x% equals 752.5 of the output value, so we can write it down as x%=752.5.
5. Now we have two simple equations:
1) 100%=840
2) x%=752.5
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%=840/752.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 752.5 is what percent of 840

100%/x%=840/752.5
(100/x)*x=(840/752.5)*x       - we multiply both sides of the equation by x
100=1.1162790697674*x       - we divide both sides of the equation by (1.1162790697674) to get x
100/1.1162790697674=x
89.583333333333=x
x=89.583333333333

now we have:
752.5 is 89.583333333333% of 840