11.1 is what percent of 11.7 - 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 11.7 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 11.7, so we can write it down as 100%=11.7.
4. We know, that x% equals 11.1 of the output value, so we can write it down as x%=11.1.
5. Now we have two simple equations:
1) 100%=11.7
2) x%=11.1
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%=11.7/11.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.1 is what percent of 11.7

100%/x%=11.7/11.1
(100/x)*x=(11.7/11.1)*x       - we multiply both sides of the equation by x
100=1.0540540540541*x       - we divide both sides of the equation by (1.0540540540541) to get x
100/1.0540540540541=x
94.871794871795=x
x=94.871794871795

now we have:
11.1 is 94.871794871795% of 11.7