49.5 is what percent of 309.75 - 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 309.75 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 309.75, so we can write it down as 100%=309.75.
4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.
5. Now we have two simple equations:
1) 100%=309.75
2) x%=49.5
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%=309.75/49.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 309.75

100%/x%=309.75/49.5
(100/x)*x=(309.75/49.5)*x       - we multiply both sides of the equation by x
100=6.2575757575758*x       - we divide both sides of the equation by (6.2575757575758) to get x
100/6.2575757575758=x
15.980629539952=x
x=15.980629539952

now we have:
49.5 is 15.980629539952% of 309.75