49.2 is what percent of 28.83 - 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 28.83 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 28.83, so we can write it down as 100%=28.83.
4. We know, that x% equals 49.2 of the output value, so we can write it down as x%=49.2.
5. Now we have two simple equations:
1) 100%=28.83
2) x%=49.2
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%=28.83/49.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.2 is what percent of 28.83

100%/x%=28.83/49.2
(100/x)*x=(28.83/49.2)*x       - we multiply both sides of the equation by x
100=0.585975609756*x       - we divide both sides of the equation by (0.585975609756) to get x
100/0.585975609756=x
170.655567118=x
x=170.655567118

now we have:
49.2 is 170.655567118% of 28.83