111.4 is what percent of 109.6 - 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 109.6 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 109.6, so we can write it down as 100%=109.6.
4. We know, that x% equals 111.4 of the output value, so we can write it down as x%=111.4.
5. Now we have two simple equations:
1) 100%=109.6
2) x%=111.4
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%=109.6/111.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.4 is what percent of 109.6

100%/x%=109.6/111.4
(100/x)*x=(109.6/111.4)*x       - we multiply both sides of the equation by x
100=0.98384201077199*x       - we divide both sides of the equation by (0.98384201077199) to get x
100/0.98384201077199=x
101.64233576642=x
x=101.64233576642

now we have:
111.4 is 101.64233576642% of 109.6