378.1 is what percent of 2368.1 - 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 2368.1 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 2368.1, so we can write it down as 100%=2368.1.
4. We know, that x% equals 378.1 of the output value, so we can write it down as x%=378.1.
5. Now we have two simple equations:
1) 100%=2368.1
2) x%=378.1
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%=2368.1/378.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 378.1 is what percent of 2368.1

100%/x%=2368.1/378.1
(100/x)*x=(2368.1/378.1)*x       - we multiply both sides of the equation by x
100=6.2631578947368*x       - we divide both sides of the equation by (6.2631578947368) to get x
100/6.2631578947368=x
15.966386554622=x
x=15.966386554622

now we have:
378.1 is 15.966386554622% of 2368.1