127.8 is what percent of 106 - 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 106 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 106, so we can write it down as 100%=106.
4. We know, that x% equals 127.8 of the output value, so we can write it down as x%=127.8.
5. Now we have two simple equations:
1) 100%=106
2) x%=127.8
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%=106/127.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.8 is what percent of 106

100%/x%=106/127.8
(100/x)*x=(106/127.8)*x       - we multiply both sides of the equation by x
100=0.82942097026604*x       - we divide both sides of the equation by (0.82942097026604) to get x
100/0.82942097026604=x
120.56603773585=x
x=120.56603773585

now we have:
127.8 is 120.56603773585% of 106