240.38 is what percent of 4807.69 - 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 4807.69 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 4807.69, so we can write it down as 100%=4807.69.
4. We know, that x% equals 240.38 of the output value, so we can write it down as x%=240.38.
5. Now we have two simple equations:
1) 100%=4807.69
2) x%=240.38
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%=4807.69/240.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 240.38 is what percent of 4807.69

100%/x%=4807.69/240.38
(100/x)*x=(4807.69/240.38)*x       - we multiply both sides of the equation by x
100=20.000374407189*x       - we divide both sides of the equation by (20.000374407189) to get x
100/20.000374407189=x
4.9999063999551=x
x=4.9999063999551

now we have:
240.38 is 4.9999063999551% of 4807.69