265.71 is what percent of 1.102 - 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 1.102 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 1.102, so we can write it down as 100%=1.102.
4. We know, that x% equals 265.71 of the output value, so we can write it down as x%=265.71.
5. Now we have two simple equations:
1) 100%=1.102
2) x%=265.71
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%=1.102/265.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 265.71 is what percent of 1.102

100%/x%=1.102/265.71
(100/x)*x=(1.102/265.71)*x       - we multiply both sides of the equation by x
100=0.0041473787211622*x       - we divide both sides of the equation by (0.0041473787211622) to get x
100/0.0041473787211622=x
24111.615245009=x
x=24111.615245009

now we have:
265.71 is 24111.615245009% of 1.102