66.82 is what percent of 445.44 - 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 445.44 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 445.44, so we can write it down as 100%=445.44.
4. We know, that x% equals 66.82 of the output value, so we can write it down as x%=66.82.
5. Now we have two simple equations:
1) 100%=445.44
2) x%=66.82
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%=445.44/66.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.82 is what percent of 445.44

100%/x%=445.44/66.82
(100/x)*x=(445.44/66.82)*x       - we multiply both sides of the equation by x
100=6.6662675845555*x       - we divide both sides of the equation by (6.6662675845555) to get x
100/6.6662675845555=x
15.000897988506=x
x=15.000897988506

now we have:
66.82 is 15.000897988506% of 445.44