729.92 is what percent of 3173.5 - 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 3173.5 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 3173.5, so we can write it down as 100%=3173.5.
4. We know, that x% equals 729.92 of the output value, so we can write it down as x%=729.92.
5. Now we have two simple equations:
1) 100%=3173.5
2) x%=729.92
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%=3173.5/729.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 729.92 is what percent of 3173.5

100%/x%=3173.5/729.92
(100/x)*x=(3173.5/729.92)*x       - we multiply both sides of the equation by x
100=4.3477367382727*x       - we divide both sides of the equation by (4.3477367382727) to get x
100/4.3477367382727=x
23.000472664251=x
x=23.000472664251

now we have:
729.92 is 23.000472664251% of 3173.5