66.66 is what percent of 3269.24 - 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 3269.24 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 3269.24, so we can write it down as 100%=3269.24.
4. We know, that x% equals 66.66 of the output value, so we can write it down as x%=66.66.
5. Now we have two simple equations:
1) 100%=3269.24
2) x%=66.66
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%=3269.24/66.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.66 is what percent of 3269.24

100%/x%=3269.24/66.66
(100/x)*x=(3269.24/66.66)*x       - we multiply both sides of the equation by x
100=49.043504350435*x       - we divide both sides of the equation by (49.043504350435) to get x
100/49.043504350435=x
2.0390060075124=x
x=2.0390060075124

now we have:
66.66 is 2.0390060075124% of 3269.24