What is 88 percent of 10.75 - 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 10.75 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 10.75 is 100%, so we can write it down as 10.75=100%.
4. We know, that x is 88% of the output value, so we can write it down as x=88%.
5. Now we have two simple equations:
1) 10.75=100%
2) x=88%
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:
10.75/x=100%/88%
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 88% of 10.75

10.75/x=100/88
(10.75/x)*x=(100/88)*x       - we multiply both sides of the equation by x
10.75=1.1363636363636*x       - we divide both sides of the equation by (1.1363636363636) to get x
10.75/1.1363636363636=x
9.46=x
x=9.46

now we have:
88% of 10.75=9.46