66 is what percent of 1395 - 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 1395 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 1395, so we can write it down as 100%=1395.
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%=1395
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%=1395/66
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 1395

100%/x%=1395/66
(100/x)*x=(1395/66)*x       - we multiply both sides of the equation by x
100=21.136363636364*x       - we divide both sides of the equation by (21.136363636364) to get x
100/21.136363636364=x
4.7311827956989=x
x=4.7311827956989

now we have:
66 is 4.7311827956989% of 1395