100.66 is what percent of 1680.5 - 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 1680.5 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 1680.5, so we can write it down as 100%=1680.5.
4. We know, that x% equals 100.66 of the output value, so we can write it down as x%=100.66.
5. Now we have two simple equations:
1) 100%=1680.5
2) x%=100.66
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%=1680.5/100.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.66 is what percent of 1680.5

100%/x%=1680.5/100.66
(100/x)*x=(1680.5/100.66)*x       - we multiply both sides of the equation by x
100=16.694814226108*x       - we divide both sides of the equation by (16.694814226108) to get x
100/16.694814226108=x
5.9898839631062=x
x=5.9898839631062

now we have:
100.66 is 5.9898839631062% of 1680.5