749.95 is what percent of 707.5 - 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 707.5 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 707.5, so we can write it down as 100%=707.5.
4. We know, that x% equals 749.95 of the output value, so we can write it down as x%=749.95.
5. Now we have two simple equations:
1) 100%=707.5
2) x%=749.95
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%=707.5/749.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 749.95 is what percent of 707.5

100%/x%=707.5/749.95
(100/x)*x=(707.5/749.95)*x       - we multiply both sides of the equation by x
100=0.94339622641509*x       - we divide both sides of the equation by (0.94339622641509) to get x
100/0.94339622641509=x
106=x
x=106

now we have:
749.95 is 106% of 707.5