40.1 is what percent of 93.45 - 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 93.45 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 93.45, so we can write it down as 100%=93.45.
4. We know, that x% equals 40.1 of the output value, so we can write it down as x%=40.1.
5. Now we have two simple equations:
1) 100%=93.45
2) x%=40.1
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%=93.45/40.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.1 is what percent of 93.45

100%/x%=93.45/40.1
(100/x)*x=(93.45/40.1)*x       - we multiply both sides of the equation by x
100=2.3304239401496*x       - we divide both sides of the equation by (2.3304239401496) to get x
100/2.3304239401496=x
42.910647405029=x
x=42.910647405029

now we have:
40.1 is 42.910647405029% of 93.45