28.89 is what percent of 288 - 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 288 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 288, so we can write it down as 100%=288.
4. We know, that x% equals 28.89 of the output value, so we can write it down as x%=28.89.
5. Now we have two simple equations:
1) 100%=288
2) x%=28.89
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%=288/28.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.89 is what percent of 288

100%/x%=288/28.89
(100/x)*x=(288/28.89)*x       - we multiply both sides of the equation by x
100=9.9688473520249*x       - we divide both sides of the equation by (9.9688473520249) to get x
100/9.9688473520249=x
10.03125=x
x=10.03125

now we have:
28.89 is 10.03125% of 288