364.24 is what percent of 2355.44 - 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 2355.44 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 2355.44, so we can write it down as 100%=2355.44.
4. We know, that x% equals 364.24 of the output value, so we can write it down as x%=364.24.
5. Now we have two simple equations:
1) 100%=2355.44
2) x%=364.24
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%=2355.44/364.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 364.24 is what percent of 2355.44

100%/x%=2355.44/364.24
(100/x)*x=(2355.44/364.24)*x       - we multiply both sides of the equation by x
100=6.4667252361081*x       - we divide both sides of the equation by (6.4667252361081) to get x
100/6.4667252361081=x
15.463777468329=x
x=15.463777468329

now we have:
364.24 is 15.463777468329% of 2355.44