16.83 is what percent of 182.37 - 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 182.37 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 182.37, so we can write it down as 100%=182.37.
4. We know, that x% equals 16.83 of the output value, so we can write it down as x%=16.83.
5. Now we have two simple equations:
1) 100%=182.37
2) x%=16.83
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%=182.37/16.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.83 is what percent of 182.37

100%/x%=182.37/16.83
(100/x)*x=(182.37/16.83)*x       - we multiply both sides of the equation by x
100=10.836007130125*x       - we divide both sides of the equation by (10.836007130125) to get x
100/10.836007130125=x
9.2284915282119=x
x=9.2284915282119

now we have:
16.83 is 9.2284915282119% of 182.37