50.05 is what percent of 40.4 - 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 40.4 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 40.4, so we can write it down as 100%=40.4.
4. We know, that x% equals 50.05 of the output value, so we can write it down as x%=50.05.
5. Now we have two simple equations:
1) 100%=40.4
2) x%=50.05
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%=40.4/50.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.05 is what percent of 40.4

100%/x%=40.4/50.05
(100/x)*x=(40.4/50.05)*x       - we multiply both sides of the equation by x
100=0.80719280719281*x       - we divide both sides of the equation by (0.80719280719281) to get x
100/0.80719280719281=x
123.88613861386=x
x=123.88613861386

now we have:
50.05 is 123.88613861386% of 40.4