15:30*100 =
( 15*100):30 =
1500:30 = 50
Now we have: 15 is what percent of 30 = 50
Question: 15 is what percent of 30?
Percentage solution with steps:
Step 1: We make the assumption that 30 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 $100\%=30$.
Step 4: In the same vein, $x\%=15$.
Step 5: This gives us a pair of simple equations:
$100\%=30(1)$.
$x\%=15(2)$.
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
$\frac{100\%}{x\%}=\frac{30}{15}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{15}{30}$
$\Rightarrow x=50\%$
Therefore, $15$ is $50\%$ of $30$.
Step-by-step explanation:
