#### Solution for 3 is what percent of 50:

3: 50*100 =

(3*100): 50 =

300: 50 = 6

Now we have: 3 is what percent of 50 = 6

Question: 3 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\%}={3}.

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

{100\%}={ 50}(1).

{x\%}={3}(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}{3}

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

\frac{x\%}{100\%}=\frac{3}{ 50}

\Rightarrow{x} = {6\%}

Therefore, {3} is {6\%} of { 50}.

#### Solution for 50 is what percent of 3:

50:3*100 =

( 50*100):3 =

5000:3 = 1666.67

Now we have: 50 is what percent of 3 = 1666.67

Question: 50 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={3}.

Step 4: In the same vein, {x\%}={ 50}.

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

{100\%}={3}(1).

{x\%}={ 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{3}{ 50}

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

\frac{x\%}{100\%}=\frac{ 50}{3}

\Rightarrow{x} = {1666.67\%}

Therefore, { 50} is {1666.67\%} of {3}.

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