Answer: 2.2%
Step-by-step explanation:
Solution for 11 is what percent of 500:
11:500*100 =
( 11*100):500 =
1100:500 = 2.2
Now we have: 11 is what percent of 500 = 2.2
Question: 11 is what percent of 500?
Percentage solution with steps:
Step 1: We make the assumption that 500 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 $100\%=500$.
Step 4: In the same vein, $x\%=11$.
Step 5: This gives us a pair of simple equations:
$100\%=500(1)$.
$x\%=11(2)$.
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
$\frac{100\%}{x\%}=\frac{500}{11}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{11}{500}$
$\Rightarrow x=2.2\%$
Therefore, $11$ is $2.2\%$ of $500$.
