106.3 is what percent of 110.4 - 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 110.4 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 110.4, so we can write it down as 100%=110.4.
4. We know, that x% equals 106.3 of the output value, so we can write it down as x%=106.3.
5. Now we have two simple equations:
1) 100%=110.4
2) x%=106.3
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%=110.4/106.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.3 is what percent of 110.4

100%/x%=110.4/106.3
(100/x)*x=(110.4/106.3)*x       - we multiply both sides of the equation by x
100=1.038570084666*x       - we divide both sides of the equation by (1.038570084666) to get x
100/1.038570084666=x
96.286231884058=x
x=96.286231884058

now we have:
106.3 is 96.286231884058% of 110.4