710.13 is what percent of 1728.16 - 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 1728.16 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 1728.16, so we can write it down as 100%=1728.16.
4. We know, that x% equals 710.13 of the output value, so we can write it down as x%=710.13.
5. Now we have two simple equations:
1) 100%=1728.16
2) x%=710.13
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%=1728.16/710.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 710.13 is what percent of 1728.16

100%/x%=1728.16/710.13
(100/x)*x=(1728.16/710.13)*x       - we multiply both sides of the equation by x
100=2.4335825834706*x       - we divide both sides of the equation by (2.4335825834706) to get x
100/2.4335825834706=x
41.091681325803=x
x=41.091681325803

now we have:
710.13 is 41.091681325803% of 1728.16