465.82 is what percent of 630 - 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 630 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 630, so we can write it down as 100%=630.
4. We know, that x% equals 465.82 of the output value, so we can write it down as x%=465.82.
5. Now we have two simple equations:
1) 100%=630
2) x%=465.82
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%=630/465.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 465.82 is what percent of 630

100%/x%=630/465.82
(100/x)*x=(630/465.82)*x       - we multiply both sides of the equation by x
100=1.3524537374952*x       - we divide both sides of the equation by (1.3524537374952) to get x
100/1.3524537374952=x
73.939682539683=x
x=73.939682539683

now we have:
465.82 is 73.939682539683% of 630