- i assume, that the number 106 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 106, so we can write it down as 100%=106.
4. We know, that x% equals 9 of the output value, so i can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=106
2) x%=9
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%=106/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 9 is what percent of 106
100%/x%=106/9
(100/x)x=(106/9)x - i multiply both sides of the equation by x
100=11.7777777778*x - i divide both sides of the equation by (11.7777777778) to get x
100/11.7777777778=x
8.49056603774=x
x=8.49056603774
now the answer is
9 is 8.49056603774% of 106
