38.75 is what percent of 169.5 - 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 169.5 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 169.5, so we can write it down as 100%=169.5.
4. We know, that x% equals 38.75 of the output value, so we can write it down as x%=38.75.
5. Now we have two simple equations:
1) 100%=169.5
2) x%=38.75
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%=169.5/38.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.75 is what percent of 169.5

100%/x%=169.5/38.75
(100/x)*x=(169.5/38.75)*x       - we multiply both sides of the equation by x
100=4.3741935483871*x       - we divide both sides of the equation by (4.3741935483871) to get x
100/4.3741935483871=x
22.861356932153=x
x=22.861356932153

now we have:
38.75 is 22.861356932153% of 169.5