What is 88.96 percent of 110.12 - 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 110.12 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 110.12 is 100%, so we can write it down as 110.12=100%.
4. We know, that x is 88.96% of the output value, so we can write it down as x=88.96%.
5. Now we have two simple equations:
1) 110.12=100%
2) x=88.96%
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:
110.12/x=100%/88.96%
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 88.96% of 110.12

110.12/x=100/88.96
(110.12/x)*x=(100/88.96)*x       - we multiply both sides of the equation by x
110.12=1.1241007194245*x       - we divide both sides of the equation by (1.1241007194245) to get x
110.12/1.1241007194245=x
97.962752=x
x=97.962752

now we have:
88.96% of 110.12=97.962752