What is 105 percent of 99.75 - 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 99.75 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 99.75 is 100%, so we can write it down as 99.75=100%.
4. We know, that x is 105% of the output value, so we can write it down as x=105%.
5. Now we have two simple equations:
1) 99.75=100%
2) x=105%
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:
99.75/x=100%/105%
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 105% of 99.75

99.75/x=100/105
(99.75/x)*x=(100/105)*x       - we multiply both sides of the equation by x
99.75=0.95238095238095*x       - we divide both sides of the equation by (0.95238095238095) to get x
99.75/0.95238095238095=x
104.7375=x
x=104.7375

now we have:
105% of 99.75=104.7375