29.05 is what percent of 199.98 - 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 199.98 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 199.98, so we can write it down as 100%=199.98.
4. We know, that x% equals 29.05 of the output value, so we can write it down as x%=29.05.
5. Now we have two simple equations:
1) 100%=199.98
2) x%=29.05
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%=199.98/29.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.05 is what percent of 199.98

100%/x%=199.98/29.05
(100/x)*x=(199.98/29.05)*x       - we multiply both sides of the equation by x
100=6.8839931153184*x       - we divide both sides of the equation by (6.8839931153184) to get x
100/6.8839931153184=x
14.526452645265=x
x=14.526452645265

now we have:
29.05 is 14.526452645265% of 199.98