16.43 is what percent of 249.5 - 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 249.5 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 249.5, so we can write it down as 100%=249.5.
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%=249.5
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%=249.5/16.43
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 249.5

100%/x%=249.5/16.43
(100/x)*x=(249.5/16.43)*x       - we multiply both sides of the equation by x
100=15.185636031649*x       - we divide both sides of the equation by (15.185636031649) to get x
100/15.185636031649=x
6.5851703406814=x
x=6.5851703406814

now we have:
16.43 is 6.5851703406814% of 249.5