66 is what percent of 1202 - 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 1202 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 1202, so we can write it down as 100%=1202.
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%=1202
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%=1202/66
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 1202

100%/x%=1202/66
(100/x)*x=(1202/66)*x       - we multiply both sides of the equation by x
100=18.212121212121*x       - we divide both sides of the equation by (18.212121212121) to get x
100/18.212121212121=x
5.4908485856905=x
x=5.4908485856905

now we have:
66 is 5.4908485856905% of 1202