#### Solution for 11 is what percent of 18:

11:18*100 =

( 11*100):18 =

1100:18 = 61.11

Now we have: 11 is what percent of 18 = 61.11

Question: 11 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 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\%}={18}.

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

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

{100\%}={18}(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{18}{ 11}

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

\frac{x\%}{100\%}=\frac{ 11}{18}

\Rightarrow{x} = {61.11\%}

Therefore, { 11} is {61.11\%} of {18}.

#### Solution for 18 is what percent of 11:

18: 11*100 =

(18*100): 11 =

1800: 11 = 163.64

Now we have: 18 is what percent of 11 = 163.64

Question: 18 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\%}={18}.

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

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

{x\%}={18}(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}{18}

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

\frac{x\%}{100\%}=\frac{18}{ 11}

\Rightarrow{x} = {163.64\%}

Therefore, {18} is {163.64\%} of { 11}.

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