45.6 is what percent of 380 - 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 380 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 380, so we can write it down as 100%=380.
4. We know, that x% equals 45.6 of the output value, so we can write it down as x%=45.6.
5. Now we have two simple equations:
1) 100%=380
2) x%=45.6
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%=380/45.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.6 is what percent of 380

100%/x%=380/45.6
(100/x)*x=(380/45.6)*x       - we multiply both sides of the equation by x
100=8.3333333333333*x       - we divide both sides of the equation by (8.3333333333333) to get x
100/8.3333333333333=x
12=x
x=12

now we have:
45.6 is 12% of 380