4.05 is what percent of 96.37 - 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 96.37 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 96.37, so we can write it down as 100%=96.37.
4. We know, that x% equals 4.05 of the output value, so we can write it down as x%=4.05.
5. Now we have two simple equations:
1) 100%=96.37
2) x%=4.05
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%=96.37/4.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.05 is what percent of 96.37

100%/x%=96.37/4.05
(100/x)*x=(96.37/4.05)*x       - we multiply both sides of the equation by x
100=23.795061728395*x       - we divide both sides of the equation by (23.795061728395) to get x
100/23.795061728395=x
4.2025526616167=x
x=4.2025526616167

now we have:
4.05 is 4.2025526616167% of 96.37