Question

What percent of 200 is 50? Pick the proportion that could be used to solve.

Answer 1

Answer:

50 is 25% of 200 (A)

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Solution for 200 is what percent of 50:

200:50*100 =

(200*100):50 =

20000:50 = 400

Now we have: 200 is what percent of 50 = 400

Question: 200 is what percent of 50?

Percentage solution with steps:

Step 1: We make the assumption that 50 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 $100\%=50$.

Step 4: In the same vein, $x\%=200$.

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

$100\%=50(1)$.

$x\%=200(2)$.

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

$\frac{100\%}{x\%}=\frac{50}{200}$

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

$\frac{x\%}{100\%}=\frac{200}{50}$

$\Rightarrow x=400\%$

Therefore, $200$ is $400\%$ of $50$.