142.1 is what percent of 364.4 - 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 364.4 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 364.4, so we can write it down as 100%=364.4.
4. We know, that x% equals 142.1 of the output value, so we can write it down as x%=142.1.
5. Now we have two simple equations:
1) 100%=364.4
2) x%=142.1
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%=364.4/142.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.1 is what percent of 364.4

100%/x%=364.4/142.1
(100/x)*x=(364.4/142.1)*x       - we multiply both sides of the equation by x
100=2.5643912737509*x       - we divide both sides of the equation by (2.5643912737509) to get x
100/2.5643912737509=x
38.995609220637=x
x=38.995609220637

now we have:
142.1 is 38.995609220637% of 364.4