What is 89.2857142857 percent of 110 - 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 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 is 100%, so we can write it down as 110=100%.
4. We know, that x is 89.2857142857% of the output value, so we can write it down as x=89.2857142857%.
5. Now we have two simple equations:
1) 110=100%
2) x=89.2857142857%
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/x=100%/89.2857142857%
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 89.2857142857% of 110

110/x=100/89.2857142857
(110/x)*x=(100/89.2857142857)*x       - we multiply both sides of the equation by x
110=1.1200000000002*x       - we divide both sides of the equation by (1.1200000000002) to get x
110/1.1200000000002=x
98.21428571427=x
x=98.21428571427

now we have:
89.2857142857% of 110=98.21428571427