28 is what percent of 29.12 - 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 29.12 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 29.12, so we can write it down as 100%=29.12.
4. We know, that x% equals 28 of the output value, so we can write it down as x%=28.
5. Now we have two simple equations:
1) 100%=29.12
2) x%=28
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%=29.12/28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28 is what percent of 29.12

100%/x%=29.12/28
(100/x)*x=(29.12/28)*x       - we multiply both sides of the equation by x
100=1.04*x       - we divide both sides of the equation by (1.04) to get x
100/1.04=x
96.1538461538=x
x=96.1538461538

now we have:
28 is 96.1538461538% of 29.12