40.05 is what percent of 120.35 - 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 120.35 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 120.35, so we can write it down as 100%=120.35.
4. We know, that x% equals 40.05 of the output value, so we can write it down as x%=40.05.
5. Now we have two simple equations:
1) 100%=120.35
2) x%=40.05
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%=120.35/40.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.05 is what percent of 120.35

100%/x%=120.35/40.05
(100/x)*x=(120.35/40.05)*x       - we multiply both sides of the equation by x
100=3.0049937578027*x       - we divide both sides of the equation by (3.0049937578027) to get x
100/3.0049937578027=x
33.277939343581=x
x=33.277939343581

now we have:
40.05 is 33.277939343581% of 120.35