16 is what percent of 829 - 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 829 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 829, so we can write it down as 100%=829.
4. We know, that x% equals 16 of the output value, so we can write it down as x%=16.
5. Now we have two simple equations:
1) 100%=829
2) x%=16
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%=829/16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16 is what percent of 829

100%/x%=829/16
(100/x)*x=(829/16)*x       - we multiply both sides of the equation by x
100=51.8125*x       - we divide both sides of the equation by (51.8125) to get x
100/51.8125=x
1.9300361881785=x
x=1.9300361881785

now we have:
16 is 1.9300361881785% of 829