#### Solution for 11 is what percent of 300:

11: 300*100 =

(11*100): 300 =

1100: 300 = 3.67

Now we have: 11 is what percent of 300 = 3.67

Question: 11 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={ 300}.

Step 4: In the same vein, {x\%}={11}.

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

{100\%}={ 300}(1).

{x\%}={11}(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{ 300}{11}

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

\frac{x\%}{100\%}=\frac{11}{ 300}

\Rightarrow{x} = {3.67\%}

Therefore, {11} is {3.67\%} of { 300}.

#### Solution for 300 is what percent of 11:

300:11*100 =

( 300*100):11 =

30000:11 = 2727.27

Now we have: 300 is what percent of 11 = 2727.27

Question: 300 is what percent of 11?

Percentage solution with steps:

Step 1: We make the assumption that 11 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\%}={11}.

Step 4: In the same vein, {x\%}={ 300}.

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

{100\%}={11}(1).

{x\%}={ 300}(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{11}{ 300}

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

\frac{x\%}{100\%}=\frac{ 300}{11}

\Rightarrow{x} = {2727.27\%}

Therefore, { 300} is {2727.27\%} of {11}.

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