66 is what percent of 2084 - 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 2084 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 2084, so we can write it down as 100%=2084.
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%=2084
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%=2084/66
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 2084

100%/x%=2084/66
(100/x)*x=(2084/66)*x       - we multiply both sides of the equation by x
100=31.575757575758*x       - we divide both sides of the equation by (31.575757575758) to get x
100/31.575757575758=x
3.1669865642994=x
x=3.1669865642994

now we have:
66 is 3.1669865642994% of 2084