16.43 is what percent of 81.43 - 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 81.43 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 81.43, so we can write it down as 100%=81.43.
4. We know, that x% equals 16.43 of the output value, so we can write it down as x%=16.43.
5. Now we have two simple equations:
1) 100%=81.43
2) x%=16.43
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%=81.43/16.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.43 is what percent of 81.43

100%/x%=81.43/16.43
(100/x)*x=(81.43/16.43)*x       - we multiply both sides of the equation by x
100=4.9561777236762*x       - we divide both sides of the equation by (4.9561777236762) to get x
100/4.9561777236762=x
20.176839002825=x
x=20.176839002825

now we have:
16.43 is 20.176839002825% of 81.43