380.8 is what percent of 3520 - 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 3520 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 3520, so we can write it down as 100%=3520.
4. We know, that x% equals 380.8 of the output value, so we can write it down as x%=380.8.
5. Now we have two simple equations:
1) 100%=3520
2) x%=380.8
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%=3520/380.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 380.8 is what percent of 3520

100%/x%=3520/380.8
(100/x)*x=(3520/380.8)*x       - we multiply both sides of the equation by x
100=9.2436974789916*x       - we divide both sides of the equation by (9.2436974789916) to get x
100/9.2436974789916=x
10.818181818182=x
x=10.818181818182

now we have:
380.8 is 10.818181818182% of 3520