1.11 is what percent of 10.75 - 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 10.75 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 10.75, so we can write it down as 100%=10.75.
4. We know, that x% equals 1.11 of the output value, so we can write it down as x%=1.11.
5. Now we have two simple equations:
1) 100%=10.75
2) x%=1.11
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%=10.75/1.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.11 is what percent of 10.75

100%/x%=10.75/1.11
(100/x)*x=(10.75/1.11)*x       - we multiply both sides of the equation by x
100=9.6846846846847*x       - we divide both sides of the equation by (9.6846846846847) to get x
100/9.6846846846847=x
10.325581395349=x
x=10.325581395349

now we have:
1.11 is 10.325581395349% of 10.75