3.6 is what percent of 14.83 - 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 14.83 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 14.83, so we can write it down as 100%=14.83.
4. We know, that x% equals 3.6 of the output value, so we can write it down as x%=3.6.
5. Now we have two simple equations:
1) 100%=14.83
2) x%=3.6
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%=14.83/3.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.6 is what percent of 14.83

100%/x%=14.83/3.6
(100/x)*x=(14.83/3.6)*x       - we multiply both sides of the equation by x
100=4.1194444444444*x       - we divide both sides of the equation by (4.1194444444444) to get x
100/4.1194444444444=x
24.275118004046=x
x=24.275118004046

now we have:
3.6 is 24.275118004046% of 14.83