729.04 is what percent of 747.07 - 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 747.07 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 747.07, so we can write it down as 100%=747.07.
4. We know, that x% equals 729.04 of the output value, so we can write it down as x%=729.04.
5. Now we have two simple equations:
1) 100%=747.07
2) x%=729.04
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%=747.07/729.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 729.04 is what percent of 747.07

100%/x%=747.07/729.04
(100/x)*x=(747.07/729.04)*x       - we multiply both sides of the equation by x
100=1.0247311532975*x       - we divide both sides of the equation by (1.0247311532975) to get x
100/1.0247311532975=x
97.586571539481=x
x=97.586571539481

now we have:
729.04 is 97.586571539481% of 747.07