31.25 is what percent of 193.399 - 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 193.399 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 193.399, so we can write it down as 100%=193.399.
4. We know, that x% equals 31.25 of the output value, so we can write it down as x%=31.25.
5. Now we have two simple equations:
1) 100%=193.399
2) x%=31.25
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%=193.399/31.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.25 is what percent of 193.399

100%/x%=193.399/31.25
(100/x)*x=(193.399/31.25)*x       - we multiply both sides of the equation by x
100=6.188768*x       - we divide both sides of the equation by (6.188768) to get x
100/6.188768=x
16.158304851628=x
x=16.158304851628

now we have:
31.25 is 16.158304851628% of 193.399