What is 125.75 percent of 106.75 - 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 106.75 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 106.75 is 100%, so we can write it down as 106.75=100%.
4. We know, that x is 125.75% of the output value, so we can write it down as x=125.75%.
5. Now we have two simple equations:
1) 106.75=100%
2) x=125.75%
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:
106.75/x=100%/125.75%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 125.75% of 106.75

106.75/x=100/125.75
(106.75/x)*x=(100/125.75)*x       - we multiply both sides of the equation by x
106.75=0.79522862823062*x       - we divide both sides of the equation by (0.79522862823062) to get x
106.75/0.79522862823062=x
134.238125=x
x=134.238125

now we have:
125.75% of 106.75=134.238125