What is 93.25 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 93.25% of the output value, so we can write it down as x=93.25%.
5. Now we have two simple equations:
1) 106.75=100%
2) x=93.25%
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%/93.25%
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 93.25% of 106.75

106.75/x=100/93.25
(106.75/x)*x=(100/93.25)*x       - we multiply both sides of the equation by x
106.75=1.0723860589812*x       - we divide both sides of the equation by (1.0723860589812) to get x
106.75/1.0723860589812=x
99.544375=x
x=99.544375

now we have:
93.25% of 106.75=99.544375