368.97 is what percent of 1409.1 - 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 1409.1 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 1409.1, so we can write it down as 100%=1409.1.
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%=1409.1
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%=1409.1/368.97
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 1409.1

100%/x%=1409.1/368.97
(100/x)*x=(1409.1/368.97)*x       - we multiply both sides of the equation by x
100=3.8190096755834*x       - we divide both sides of the equation by (3.8190096755834) to get x
100/3.8190096755834=x
26.18479880775=x
x=26.18479880775

now we have:
368.97 is 26.18479880775% of 1409.1