What is 88.22 percent of 95.5 - 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 95.5 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 95.5 is 100%, so we can write it down as 95.5=100%.
4. We know, that x is 88.22% of the output value, so we can write it down as x=88.22%.
5. Now we have two simple equations:
1) 95.5=100%
2) x=88.22%
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:
95.5/x=100%/88.22%
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 88.22% of 95.5

95.5/x=100/88.22
(95.5/x)*x=(100/88.22)*x       - we multiply both sides of the equation by x
95.5=1.1335298118341*x       - we divide both sides of the equation by (1.1335298118341) to get x
95.5/1.1335298118341=x
84.2501=x
x=84.2501

now we have:
88.22% of 95.5=84.2501