66 is what percent of 1326.66 - 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 1326.66 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 1326.66, so we can write it down as 100%=1326.66.
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%=1326.66
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%=1326.66/66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66 is what percent of 1326.66

100%/x%=1326.66/66
(100/x)*x=(1326.66/66)*x       - we multiply both sides of the equation by x
100=20.100909090909*x       - we divide both sides of the equation by (20.100909090909) to get x
100/20.100909090909=x
4.9748993713536=x
x=4.9748993713536

now we have:
66 is 4.9748993713536% of 1326.66