0.92 is what percent of 28 - 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 28 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 28, so we can write it down as 100%=28.
4. We know, that x% equals 0.92 of the output value, so we can write it down as x%=0.92.
5. Now we have two simple equations:
1) 100%=28
2) x%=0.92
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%=28/0.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.92 is what percent of 28

100%/x%=28/0.92
(100/x)*x=(28/0.92)*x       - we multiply both sides of the equation by x
100=30.434782608696*x       - we divide both sides of the equation by (30.434782608696) to get x
100/30.434782608696=x
3.2857142857143=x
x=3.2857142857143

now we have:
0.92 is 3.2857142857143% of 28