12.25 is what percent of 667.95 - 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 667.95 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 667.95, so we can write it down as 100%=667.95.
4. We know, that x% equals 12.25 of the output value, so we can write it down as x%=12.25.
5. Now we have two simple equations:
1) 100%=667.95
2) x%=12.25
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%=667.95/12.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.25 is what percent of 667.95

100%/x%=667.95/12.25
(100/x)*x=(667.95/12.25)*x       - we multiply both sides of the equation by x
100=54.526530612245*x       - we divide both sides of the equation by (54.526530612245) to get x
100/54.526530612245=x
1.8339696085036=x
x=1.8339696085036

now we have:
12.25 is 1.8339696085036% of 667.95