63.46 is what percent of 597.78 - 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 597.78 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 597.78, so we can write it down as 100%=597.78.
4. We know, that x% equals 63.46 of the output value, so we can write it down as x%=63.46.
5. Now we have two simple equations:
1) 100%=597.78
2) x%=63.46
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%=597.78/63.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.46 is what percent of 597.78

100%/x%=597.78/63.46
(100/x)*x=(597.78/63.46)*x       - we multiply both sides of the equation by x
100=9.4197919949575*x       - we divide both sides of the equation by (9.4197919949575) to get x
100/9.4197919949575=x
10.615945665629=x
x=10.615945665629

now we have:
63.46 is 10.615945665629% of 597.78