What is 88.888888888889 percent of 20.444444444444 - 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 20.444444444444 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 20.444444444444 is 100%, so we can write it down as 20.444444444444=100%.
4. We know, that x is 88.888888888889% of the output value, so we can write it down as x=88.888888888889%.
5. Now we have two simple equations:
1) 20.444444444444=100%
2) x=88.888888888889%
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:
20.444444444444/x=100%/88.888888888889%
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 88.888888888889% of 20.444444444444

20.444444444444/x=100/88.888888888889
(20.444444444444/x)*x=(100/88.888888888889)*x       - we multiply both sides of the equation by x
20.444444444444=1.125*x       - we divide both sides of the equation by (1.125) to get x
20.444444444444/1.125=x
18.172839506173=x
x=18.172839506173

now we have:
88.888888888889% of 20.444444444444=18.172839506173