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Solution for 200 is what percent of 75:

200:75*100 =

( 200*100):75 =

20000:75 = 266.67

Now we have: 200 is what percent of 75 = 266.67

Question: 200 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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}.

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

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

{100\%}={75}(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}{ 200}

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

\frac{x\%}{100\%}=\frac{ 200}{75}

\Rightarrow{x} = {266.67\%}

Therefore, { 200} is {266.67\%} of {75}.

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Solution for 75 is what percent of 200:

75: 200*100 =

(75*100): 200 =

7500: 200 = 37.5

Now we have: 75 is what percent of 200 = 37.5

Question: 75 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}.

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

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

{x\%}={75}(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}

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

\frac{x\%}{100\%}=\frac{75}{ 200}

\Rightarrow{x} = {37.5\%}

Therefore, {75} is {37.5\%} of { 200}.