60 is what percent of 3638 - 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 3638 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 3638, so we can write it down as 100%=3638.
4. We know, that x% equals 60 of the output value, so we can write it down as x%=60.
5. Now we have two simple equations:
1) 100%=3638
2) x%=60
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%=3638/60
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60 is what percent of 3638

100%/x%=3638/60
(100/x)*x=(3638/60)*x       - we multiply both sides of the equation by x
100=60.633333333333*x       - we divide both sides of the equation by (60.633333333333) to get x
100/60.633333333333=x
1.6492578339747=x
x=1.6492578339747

now we have:
60 is 1.6492578339747% of 3638