3.99 is what percent of 92.5 - 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 92.5 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 92.5, so we can write it down as 100%=92.5.
4. We know, that x% equals 3.99 of the output value, so we can write it down as x%=3.99.
5. Now we have two simple equations:
1) 100%=92.5
2) x%=3.99
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%=92.5/3.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.99 is what percent of 92.5

100%/x%=92.5/3.99
(100/x)*x=(92.5/3.99)*x       - we multiply both sides of the equation by x
100=23.182957393484*x       - we divide both sides of the equation by (23.182957393484) to get x
100/23.182957393484=x
4.3135135135135=x
x=4.3135135135135

now we have:
3.99 is 4.3135135135135% of 92.5