30.97 is what percent of 163.94 - 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 163.94 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 163.94, so we can write it down as 100%=163.94.
4. We know, that x% equals 30.97 of the output value, so we can write it down as x%=30.97.
5. Now we have two simple equations:
1) 100%=163.94
2) x%=30.97
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%=163.94/30.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.97 is what percent of 163.94

100%/x%=163.94/30.97
(100/x)*x=(163.94/30.97)*x       - we multiply both sides of the equation by x
100=5.2935098482402*x       - we divide both sides of the equation by (5.2935098482402) to get x
100/5.2935098482402=x
18.891057704038=x
x=18.891057704038

now we have:
30.97 is 18.891057704038% of 163.94