365.75 is what percent of 8408 - 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 8408 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 8408, so we can write it down as 100%=8408.
4. We know, that x% equals 365.75 of the output value, so we can write it down as x%=365.75.
5. Now we have two simple equations:
1) 100%=8408
2) x%=365.75
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%=8408/365.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.75 is what percent of 8408

100%/x%=8408/365.75
(100/x)*x=(8408/365.75)*x       - we multiply both sides of the equation by x
100=22.988380041012*x       - we divide both sides of the equation by (22.988380041012) to get x
100/22.988380041012=x
4.3500237868696=x
x=4.3500237868696

now we have:
365.75 is 4.3500237868696% of 8408