729.78 is what percent of 1073.2 - 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 1073.2 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 1073.2, so we can write it down as 100%=1073.2.
4. We know, that x% equals 729.78 of the output value, so we can write it down as x%=729.78.
5. Now we have two simple equations:
1) 100%=1073.2
2) x%=729.78
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%=1073.2/729.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 729.78 is what percent of 1073.2

100%/x%=1073.2/729.78
(100/x)*x=(1073.2/729.78)*x       - we multiply both sides of the equation by x
100=1.4705801748472*x       - we divide both sides of the equation by (1.4705801748472) to get x
100/1.4705801748472=x
68.000372717108=x
x=68.000372717108

now we have:
729.78 is 68.000372717108% of 1073.2