368.97 is what percent of 2395.9 - 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 2395.9 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 2395.9, so we can write it down as 100%=2395.9.
4. We know, that x% equals 368.97 of the output value, so we can write it down as x%=368.97.
5. Now we have two simple equations:
1) 100%=2395.9
2) x%=368.97
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%=2395.9/368.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 368.97 is what percent of 2395.9

100%/x%=2395.9/368.97
(100/x)*x=(2395.9/368.97)*x       - we multiply both sides of the equation by x
100=6.4934818548934*x       - we divide both sides of the equation by (6.4934818548934) to get x
100/6.4934818548934=x
15.400058433157=x
x=15.400058433157

now we have:
368.97 is 15.400058433157% of 2395.9