16.84 is what percent of 84.23 - 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 84.23 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 84.23, so we can write it down as 100%=84.23.
4. We know, that x% equals 16.84 of the output value, so we can write it down as x%=16.84.
5. Now we have two simple equations:
1) 100%=84.23
2) x%=16.84
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%=84.23/16.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.84 is what percent of 84.23

100%/x%=84.23/16.84
(100/x)*x=(84.23/16.84)*x       - we multiply both sides of the equation by x
100=5.0017814726841*x       - we divide both sides of the equation by (5.0017814726841) to get x
100/5.0017814726841=x
19.992876647275=x
x=19.992876647275

now we have:
16.84 is 19.992876647275% of 84.23