248.93 is what percent of 3049.5 - 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 3049.5 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 3049.5, so we can write it down as 100%=3049.5.
4. We know, that x% equals 248.93 of the output value, so we can write it down as x%=248.93.
5. Now we have two simple equations:
1) 100%=3049.5
2) x%=248.93
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%=3049.5/248.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.93 is what percent of 3049.5

100%/x%=3049.5/248.93
(100/x)*x=(3049.5/248.93)*x       - we multiply both sides of the equation by x
100=12.250431848311*x       - we divide both sides of the equation by (12.250431848311) to get x
100/12.250431848311=x
8.1629775373012=x
x=8.1629775373012

now we have:
248.93 is 8.1629775373012% of 3049.5