14.6 is what percent of 381.6 - 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 381.6 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 381.6, so we can write it down as 100%=381.6.
4. We know, that x% equals 14.6 of the output value, so we can write it down as x%=14.6.
5. Now we have two simple equations:
1) 100%=381.6
2) x%=14.6
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%=381.6/14.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.6 is what percent of 381.6

100%/x%=381.6/14.6
(100/x)*x=(381.6/14.6)*x       - we multiply both sides of the equation by x
100=26.13698630137*x       - we divide both sides of the equation by (26.13698630137) to get x
100/26.13698630137=x
3.8259958071279=x
x=3.8259958071279

now we have:
14.6 is 3.8259958071279% of 381.6