11.2 is what percent of 9.4 - 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 9.4 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 9.4, so we can write it down as 100%=9.4.
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%=9.4
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%=9.4/11.2
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 9.4

100%/x%=9.4/11.2
(100/x)*x=(9.4/11.2)*x       - we multiply both sides of the equation by x
100=0.83928571428571*x       - we divide both sides of the equation by (0.83928571428571) to get x
100/0.83928571428571=x
119.14893617021=x
x=119.14893617021

now we have:
11.2 is 119.14893617021% of 9.4