#### Solution for 11 is what percent of 23:

11:23*100 =

( 11*100):23 =

1100:23 = 47.83

Now we have: 11 is what percent of 23 = 47.83

Question: 11 is what percent of 23?

Percentage solution with steps:

Step 1: We make the assumption that 23 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\%}={23}.

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

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

{100\%}={23}(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{23}{ 11}

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

\frac{x\%}{100\%}=\frac{ 11}{23}

\Rightarrow{x} = {47.83\%}

Therefore, { 11} is {47.83\%} of {23}.

#### Solution for 23 is what percent of 11:

23: 11*100 =

(23*100): 11 =

2300: 11 = 209.09

Now we have: 23 is what percent of 11 = 209.09

Question: 23 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\%}={23}.

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

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

{x\%}={23}(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}{23}

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

\frac{x\%}{100\%}=\frac{23}{ 11}

\Rightarrow{x} = {209.09\%}

Therefore, {23} is {209.09\%} of { 11}.

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