#### Solution for 75.50 is what percent of 200:

75.50:200*100 =

(75.50*100):200 =

7550:200 = 37.75

Now we have: 75.50 is what percent of 200 = 37.75

Question: 75.50 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={200}.

Step 4: In the same vein, {x\%}={75.50}.

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

{100\%}={200}(1).

{x\%}={75.50}(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{200}{75.50}

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

\frac{x\%}{100\%}=\frac{75.50}{200}

\Rightarrow{x} = {37.75\%}

Therefore, {75.50} is {37.75\%} of {200}.

#### Solution for 200 is what percent of 75.50:

200:75.50*100 =

(200*100):75.50 =

20000:75.50 = 264.90066225166

Now we have: 200 is what percent of 75.50 = 264.90066225166

Question: 200 is what percent of 75.50?

Percentage solution with steps:

Step 1: We make the assumption that 75.50 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\%}={75.50}.

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

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

{100\%}={75.50}(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{75.50}{200}

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

\frac{x\%}{100\%}=\frac{200}{75.50}

\Rightarrow{x} = {264.90066225166\%}

Therefore, {200} is {264.90066225166\%} of {75.50}.

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