363.84 is what percent of 3463.8 - 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 3463.8 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 3463.8, so we can write it down as 100%=3463.8.
4. We know, that x% equals 363.84 of the output value, so we can write it down as x%=363.84.
5. Now we have two simple equations:
1) 100%=3463.8
2) x%=363.84
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%=3463.8/363.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 363.84 is what percent of 3463.8

100%/x%=3463.8/363.84
(100/x)*x=(3463.8/363.84)*x       - we multiply both sides of the equation by x
100=9.5201187335092*x       - we divide both sides of the equation by (9.5201187335092) to get x
100/9.5201187335092=x
10.504070673826=x
x=10.504070673826

now we have:
363.84 is 10.504070673826% of 3463.8