757.5 is what percent of 765 - 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 765 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 765, so we can write it down as 100%=765.
4. We know, that x% equals 757.5 of the output value, so we can write it down as x%=757.5.
5. Now we have two simple equations:
1) 100%=765
2) x%=757.5
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%=765/757.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 757.5 is what percent of 765

100%/x%=765/757.5
(100/x)*x=(765/757.5)*x       - we multiply both sides of the equation by x
100=1.009900990099*x       - we divide both sides of the equation by (1.009900990099) to get x
100/1.009900990099=x
99.019607843137=x
x=99.019607843137

now we have:
757.5 is 99.019607843137% of 765