473.07 is what percent of 712 - 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 712 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 712, so we can write it down as 100%=712.
4. We know, that x% equals 473.07 of the output value, so we can write it down as x%=473.07.
5. Now we have two simple equations:
1) 100%=712
2) x%=473.07
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%=712/473.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 473.07 is what percent of 712

100%/x%=712/473.07
(100/x)*x=(712/473.07)*x       - we multiply both sides of the equation by x
100=1.505062675714*x       - we divide both sides of the equation by (1.505062675714) to get x
100/1.505062675714=x
66.442415730337=x
x=66.442415730337

now we have:
473.07 is 66.442415730337% of 712