163.99 is what percent of 529 - 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 529 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 529, so we can write it down as 100%=529.
4. We know, that x% equals 163.99 of the output value, so we can write it down as x%=163.99.
5. Now we have two simple equations:
1) 100%=529
2) x%=163.99
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%=529/163.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.99 is what percent of 529

100%/x%=529/163.99
(100/x)*x=(529/163.99)*x       - we multiply both sides of the equation by x
100=3.2258064516129*x       - we divide both sides of the equation by (3.2258064516129) to get x
100/3.2258064516129=x
31=x
x=31

now we have:
163.99 is 31% of 529