66.18 is what percent of 1829.5 - 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 1829.5 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 1829.5, so we can write it down as 100%=1829.5.
4. We know, that x% equals 66.18 of the output value, so we can write it down as x%=66.18.
5. Now we have two simple equations:
1) 100%=1829.5
2) x%=66.18
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%=1829.5/66.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.18 is what percent of 1829.5

100%/x%=1829.5/66.18
(100/x)*x=(1829.5/66.18)*x       - we multiply both sides of the equation by x
100=27.644303414929*x       - we divide both sides of the equation by (27.644303414929) to get x
100/27.644303414929=x
3.6173817983055=x
x=3.6173817983055

now we have:
66.18 is 3.6173817983055% of 1829.5