Answer:
9:300*100 =
(9*100):300 =
900:300 = 3
Step-by-step explanation:
Step 1: We make the assumption that 300 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=300$.
Step 4: In the same vein, $x\%=9$.
Step 5: This gives us a pair of simple equations:
$100\%=300(1)$.
$x\%=9(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{300}{9}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{9}{300}$
$\Rightarrow x=3\%$
Therefore, $9$ is $3\%$ of $300$.
