40.1 is what percent of 194.4 - 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 194.4 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 194.4, so we can write it down as 100%=194.4.
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%=194.4
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%=194.4/40.1
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 194.4

100%/x%=194.4/40.1
(100/x)*x=(194.4/40.1)*x       - we multiply both sides of the equation by x
100=4.8478802992519*x       - we divide both sides of the equation by (4.8478802992519) to get x
100/4.8478802992519=x
20.627572016461=x
x=20.627572016461

now we have:
40.1 is 20.627572016461% of 194.4