3.92 is what percent of 92.75 - 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 92.75 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 92.75, so we can write it down as 100%=92.75.
4. We know, that x% equals 3.92 of the output value, so we can write it down as x%=3.92.
5. Now we have two simple equations:
1) 100%=92.75
2) x%=3.92
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%=92.75/3.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.92 is what percent of 92.75

100%/x%=92.75/3.92
(100/x)*x=(92.75/3.92)*x       - we multiply both sides of the equation by x
100=23.660714285714*x       - we divide both sides of the equation by (23.660714285714) to get x
100/23.660714285714=x
4.2264150943396=x
x=4.2264150943396

now we have:
3.92 is 4.2264150943396% of 92.75