What is 89.285714285714 percent of 144 - 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 144 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 144 is 100%, so we can write it down as 144=100%.
4. We know, that x is 89.285714285714% of the output value, so we can write it down as x=89.285714285714%.
5. Now we have two simple equations:
1) 144=100%
2) x=89.285714285714%
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:
144/x=100%/89.285714285714%
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 89.285714285714% of 144

144/x=100/89.285714285714
(144/x)*x=(100/89.285714285714)*x       - we multiply both sides of the equation by x
144=1.12*x       - we divide both sides of the equation by (1.12) to get x
144/1.12=x
128.57142857143=x
x=128.57142857143

now we have:
89.285714285714% of 144=128.57142857143