Help please: Find the quotient

Answer:

15 is the short answer

Step-by-step explanation:

Solution for 0.5 is what percent of 7.5:

0.5:7.5*100 =

(0.5*100):7.5 =

50:7.5 = 6.6666666666667

Now we have: 0.5 is what percent of 7.5 = 6.6666666666667

Question: 0.5 is what percent of 7.5?

Percentage solution with steps:

Step 1: We make the assumption that 7.5 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 $100\%=7.5$.

Step 4: In the same vein, $x\%=0.5$.

Step 5: This gives us a pair of simple equations:

$100\%=7.5(1)$.

$x\%=0.5(2)$.

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

$\frac{100\%}{x\%}=\frac{7.5}{0.5}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{0.5}{7.5}$

$\Rightarrow x=6.6666666666667\%$

Therefore, $0.5$ is $6.6666666666667\%$ of $7.5$.

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0
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