63.82 is what percent of 513.4 - 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 513.4 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 513.4, so we can write it down as 100%=513.4.
4. We know, that x% equals 63.82 of the output value, so we can write it down as x%=63.82.
5. Now we have two simple equations:
1) 100%=513.4
2) x%=63.82
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%=513.4/63.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.82 is what percent of 513.4

100%/x%=513.4/63.82
(100/x)*x=(513.4/63.82)*x       - we multiply both sides of the equation by x
100=8.0445001566907*x       - we divide both sides of the equation by (8.0445001566907) to get x
100/8.0445001566907=x
12.430853135956=x
x=12.430853135956

now we have:
63.82 is 12.430853135956% of 513.4