16.7 is what percent of 34.9 - 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 34.9 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 34.9, so we can write it down as 100%=34.9.
4. We know, that x% equals 16.7 of the output value, so we can write it down as x%=16.7.
5. Now we have two simple equations:
1) 100%=34.9
2) x%=16.7
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%=34.9/16.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.7 is what percent of 34.9

100%/x%=34.9/16.7
(100/x)*x=(34.9/16.7)*x       - we multiply both sides of the equation by x
100=2.0898203592814*x       - we divide both sides of the equation by (2.0898203592814) to get x
100/2.0898203592814=x
47.85100286533=x
x=47.85100286533

now we have:
16.7 is 47.85100286533% of 34.9