114.33 is what percent of 98.88 - 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 98.88 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 98.88, so we can write it down as 100%=98.88.
4. We know, that x% equals 114.33 of the output value, so we can write it down as x%=114.33.
5. Now we have two simple equations:
1) 100%=98.88
2) x%=114.33
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%=98.88/114.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 114.33 is what percent of 98.88

100%/x%=98.88/114.33
(100/x)*x=(98.88/114.33)*x       - we multiply both sides of the equation by x
100=0.86486486486486*x       - we divide both sides of the equation by (0.86486486486486) to get x
100/0.86486486486486=x
115.625=x
x=115.625

now we have:
114.33 is 115.625% of 98.88