268.12 is what percent of 2665.66 - 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 2665.66 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 2665.66, so we can write it down as 100%=2665.66.
4. We know, that x% equals 268.12 of the output value, so we can write it down as x%=268.12.
5. Now we have two simple equations:
1) 100%=2665.66
2) x%=268.12
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%=2665.66/268.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 268.12 is what percent of 2665.66

100%/x%=2665.66/268.12
(100/x)*x=(2665.66/268.12)*x       - we multiply both sides of the equation by x
100=9.9420408772192*x       - we divide both sides of the equation by (9.9420408772192) to get x
100/9.9420408772192=x
10.05829700712=x
x=10.05829700712

now we have:
268.12 is 10.05829700712% of 2665.66