11.2 is what percent of 101 - 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 101 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 101, so we can write it down as 100%=101.
4. We know, that x% equals 11.2 of the output value, so we can write it down as x%=11.2.
5. Now we have two simple equations:
1) 100%=101
2) x%=11.2
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%=101/11.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.2 is what percent of 101

100%/x%=101/11.2
(100/x)*x=(101/11.2)*x       - we multiply both sides of the equation by x
100=9.0178571428571*x       - we divide both sides of the equation by (9.0178571428571) to get x
100/9.0178571428571=x
11.089108910891=x
x=11.089108910891

now we have:
11.2 is 11.089108910891% of 101