66 is what percent of 3600 - 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 3600 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 3600, so we can write it down as 100%=3600.
4. We know, that x% equals 66 of the output value, so we can write it down as x%=66.
5. Now we have two simple equations:
1) 100%=3600
2) x%=66
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%=3600/66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66 is what percent of 3600

100%/x%=3600/66
(100/x)*x=(3600/66)*x       - we multiply both sides of the equation by x
100=54.545454545455*x       - we divide both sides of the equation by (54.545454545455) to get x
100/54.545454545455=x
1.8333333333333=x
x=1.8333333333333

now we have:
66 is 1.8333333333333% of 3600