193.5 is what percent of 360 - 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 360 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 360, so we can write it down as 100%=360.
4. We know, that x% equals 193.5 of the output value, so we can write it down as x%=193.5.
5. Now we have two simple equations:
1) 100%=360
2) x%=193.5
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%=360/193.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 193.5 is what percent of 360

100%/x%=360/193.5
(100/x)*x=(360/193.5)*x       - we multiply both sides of the equation by x
100=1.8604651162791*x       - we divide both sides of the equation by (1.8604651162791) to get x
100/1.8604651162791=x
53.75=x
x=53.75

now we have:
193.5 is 53.75% of 360