40.4 is what percent of 182.1 - 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 182.1 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 182.1, so we can write it down as 100%=182.1.
4. We know, that x% equals 40.4 of the output value, so we can write it down as x%=40.4.
5. Now we have two simple equations:
1) 100%=182.1
2) x%=40.4
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%=182.1/40.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.4 is what percent of 182.1

100%/x%=182.1/40.4
(100/x)*x=(182.1/40.4)*x       - we multiply both sides of the equation by x
100=4.5074257425743*x       - we divide both sides of the equation by (4.5074257425743) to get x
100/4.5074257425743=x
22.185612300934=x
x=22.185612300934

now we have:
40.4 is 22.185612300934% of 182.1