460.8 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 460.8 of the output value, so we can write it down as x%=460.8.
5. Now we have two simple equations:
1) 100%=710
2) x%=460.8
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%=710/460.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 460.8 is what percent of 710

100%/x%=710/460.8
(100/x)*x=(710/460.8)*x       - we multiply both sides of the equation by x
100=1.5407986111111*x       - we divide both sides of the equation by (1.5407986111111) to get x
100/1.5407986111111=x
64.901408450704=x
x=64.901408450704

now we have:
460.8 is 64.901408450704% of 710