109.4 is what percent of 128 - 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 128 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 128, so we can write it down as 100%=128.
4. We know, that x% equals 109.4 of the output value, so we can write it down as x%=109.4.
5. Now we have two simple equations:
1) 100%=128
2) x%=109.4
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%=128/109.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.4 is what percent of 128

100%/x%=128/109.4
(100/x)*x=(128/109.4)*x       - we multiply both sides of the equation by x
100=1.1700182815356*x       - we divide both sides of the equation by (1.1700182815356) to get x
100/1.1700182815356=x
85.46875=x
x=85.46875

now we have:
109.4 is 85.46875% of 128