28.36 is what percent of 92.67 - 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 92.67 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 92.67, so we can write it down as 100%=92.67.
4. We know, that x% equals 28.36 of the output value, so we can write it down as x%=28.36.
5. Now we have two simple equations:
1) 100%=92.67
2) x%=28.36
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%=92.67/28.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.36 is what percent of 92.67

100%/x%=92.67/28.36
(100/x)*x=(92.67/28.36)*x       - we multiply both sides of the equation by x
100=3.2676304654443*x       - we divide both sides of the equation by (3.2676304654443) to get x
100/3.2676304654443=x
30.603215711665=x
x=30.603215711665

now we have:
28.36 is 30.603215711665% of 92.67