247.8 is what percent of 5849.8 - 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 5849.8 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 5849.8, so we can write it down as 100%=5849.8.
4. We know, that x% equals 247.8 of the output value, so we can write it down as x%=247.8.
5. Now we have two simple equations:
1) 100%=5849.8
2) x%=247.8
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%=5849.8/247.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 247.8 is what percent of 5849.8

100%/x%=5849.8/247.8
(100/x)*x=(5849.8/247.8)*x       - we multiply both sides of the equation by x
100=23.606941081517*x       - we divide both sides of the equation by (23.606941081517) to get x
100/23.606941081517=x
4.236042257855=x
x=4.236042257855

now we have:
247.8 is 4.236042257855% of 5849.8