668.25 is what percent of 18668.25 - 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 18668.25 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 18668.25, so we can write it down as 100%=18668.25.
4. We know, that x% equals 668.25 of the output value, so we can write it down as x%=668.25.
5. Now we have two simple equations:
1) 100%=18668.25
2) x%=668.25
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%=18668.25/668.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 668.25 is what percent of 18668.25

100%/x%=18668.25/668.25
(100/x)*x=(18668.25/668.25)*x       - we multiply both sides of the equation by x
100=27.936026936027*x       - we divide both sides of the equation by (27.936026936027) to get x
100/27.936026936027=x
3.5796070868989=x
x=3.5796070868989

now we have:
668.25 is 3.5796070868989% of 18668.25