66 is what percent of 1265 - 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 1265 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 1265, so we can write it down as 100%=1265.
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%=1265
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%=1265/66
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 1265

100%/x%=1265/66
(100/x)*x=(1265/66)*x       - we multiply both sides of the equation by x
100=19.166666666667*x       - we divide both sides of the equation by (19.166666666667) to get x
100/19.166666666667=x
5.2173913043478=x
x=5.2173913043478

now we have:
66 is 5.2173913043478% of 1265