2268.75 is what percent of 5398.5 - 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 5398.5 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 5398.5, so we can write it down as 100%=5398.5.
4. We know, that x% equals 2268.75 of the output value, so we can write it down as x%=2268.75.
5. Now we have two simple equations:
1) 100%=5398.5
2) x%=2268.75
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%=5398.5/2268.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2268.75 is what percent of 5398.5

100%/x%=5398.5/2268.75
(100/x)*x=(5398.5/2268.75)*x       - we multiply both sides of the equation by x
100=2.3795041322314*x       - we divide both sides of the equation by (2.3795041322314) to get x
100/2.3795041322314=x
42.025562656293=x
x=42.025562656293

now we have:
2268.75 is 42.025562656293% of 5398.5