66 is what percent of 3070 - 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 3070 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 3070, so we can write it down as 100%=3070.
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%=3070
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%=3070/66
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 3070

100%/x%=3070/66
(100/x)*x=(3070/66)*x       - we multiply both sides of the equation by x
100=46.515151515152*x       - we divide both sides of the equation by (46.515151515152) to get x
100/46.515151515152=x
2.1498371335505=x
x=2.1498371335505

now we have:
66 is 2.1498371335505% of 3070