364.8 is what percent of 1504 - 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 1504 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 1504, so we can write it down as 100%=1504.
4. We know, that x% equals 364.8 of the output value, so we can write it down as x%=364.8.
5. Now we have two simple equations:
1) 100%=1504
2) x%=364.8
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%=1504/364.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 364.8 is what percent of 1504

100%/x%=1504/364.8
(100/x)*x=(1504/364.8)*x       - we multiply both sides of the equation by x
100=4.1228070175439*x       - we divide both sides of the equation by (4.1228070175439) to get x
100/4.1228070175439=x
24.255319148936=x
x=24.255319148936

now we have:
364.8 is 24.255319148936% of 1504