0.88 is what percent of 1.11 - 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 1.11 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 1.11, so we can write it down as 100%=1.11.
4. We know, that x% equals 0.88 of the output value, so we can write it down as x%=0.88.
5. Now we have two simple equations:
1) 100%=1.11
2) x%=0.88
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%=1.11/0.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.88 is what percent of 1.11

100%/x%=1.11/0.88
(100/x)*x=(1.11/0.88)*x       - we multiply both sides of the equation by x
100=1.2613636363636*x       - we divide both sides of the equation by (1.2613636363636) to get x
100/1.2613636363636=x
79.279279279279=x
x=79.279279279279

now we have:
0.88 is 79.279279279279% of 1.11