98 is what percent of 110.25 - 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 110.25 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 100% equals 110.25, so we can write it down as 100%=110.25.
4. We know, that x% equals 98 of the output value, so we can write it down as x%=98.
5. Now we have two simple equations:
1) 100%=110.25
2) x%=98
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:
100%/x%=110.25/98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98 is what percent of 110.25

100%/x%=110.25/98
(100/x)*x=(110.25/98)*x       - we multiply both sides of the equation by x
100=1.125*x       - we divide both sides of the equation by (1.125) to get x
100/1.125=x
88.888888888889=x
x=88.888888888889

now we have:
98 is 88.888888888889% of 110.25