What is 90.92 percent of 27.5 - 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 27.5 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 27.5 is 100%, so we can write it down as 27.5=100%.
4. We know, that x is 90.92% of the output value, so we can write it down as x=90.92%.
5. Now we have two simple equations:
1) 27.5=100%
2) x=90.92%
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:
27.5/x=100%/90.92%
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 90.92% of 27.5

27.5/x=100/90.92
(27.5/x)*x=(100/90.92)*x       - we multiply both sides of the equation by x
27.5=1.0998680158381*x       - we divide both sides of the equation by (1.0998680158381) to get x
27.5/1.0998680158381=x
25.003=x
x=25.003

now we have:
90.92% of 27.5=25.003