What is 88.75 percent of 10.7 - 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 10.7 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 10.7 is 100%, so we can write it down as 10.7=100%.
4. We know, that x is 88.75% of the output value, so we can write it down as x=88.75%.
5. Now we have two simple equations:
1) 10.7=100%
2) x=88.75%
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:
10.7/x=100%/88.75%
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 88.75% of 10.7

10.7/x=100/88.75
(10.7/x)*x=(100/88.75)*x       - we multiply both sides of the equation by x
10.7=1.1267605633803*x       - we divide both sides of the equation by (1.1267605633803) to get x
10.7/1.1267605633803=x
9.49625=x
x=9.49625

now we have:
88.75% of 10.7=9.49625