63 is what percent of 3682 - 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 3682 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 3682, so we can write it down as 100%=3682.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=3682
2) x%=63
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%=3682/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 3682

100%/x%=3682/63
(100/x)*x=(3682/63)*x       - we multiply both sides of the equation by x
100=58.444444444444*x       - we divide both sides of the equation by (58.444444444444) to get x
100/58.444444444444=x
1.7110266159696=x
x=1.7110266159696

now we have:
63 is 1.7110266159696% of 3682