466.5 is what percent of 710 - 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 710 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 710, so we can write it down as 100%=710.
4. We know, that x% equals 466.5 of the output value, so we can write it down as x%=466.5.
5. Now we have two simple equations:
1) 100%=710
2) x%=466.5
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%=710/466.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 466.5 is what percent of 710

100%/x%=710/466.5
(100/x)*x=(710/466.5)*x       - we multiply both sides of the equation by x
100=1.5219721329046*x       - we divide both sides of the equation by (1.5219721329046) to get x
100/1.5219721329046=x
65.704225352113=x
x=65.704225352113

now we have:
466.5 is 65.704225352113% of 710