246.16 is what percent of 6153.85 - 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 6153.85 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 6153.85, so we can write it down as 100%=6153.85.
4. We know, that x% equals 246.16 of the output value, so we can write it down as x%=246.16.
5. Now we have two simple equations:
1) 100%=6153.85
2) x%=246.16
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%=6153.85/246.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 246.16 is what percent of 6153.85

100%/x%=6153.85/246.16
(100/x)*x=(6153.85/246.16)*x       - we multiply both sides of the equation by x
100=24.999390640234*x       - we divide both sides of the equation by (24.999390640234) to get x
100/24.999390640234=x
4.0000974999391=x
x=4.0000974999391

now we have:
246.16 is 4.0000974999391% of 6153.85