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Solution for 16 is what percent of 11:

16:11*100 =

( 16*100):11 =

1600:11 = 145.45

Now we have: 16 is what percent of 11 = 145.45

Question: 16 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\%}={ 16}.

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

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

{x\%}={ 16}(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}{ 16}

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

\frac{x\%}{100\%}=\frac{ 16}{11}

\Rightarrow{x} = {145.45\%}

Therefore, { 16} is {145.45\%} of {11}.

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Solution for 11 is what percent of 16:

11: 16*100 =

(11*100): 16 =

1100: 16 = 68.75

Now we have: 11 is what percent of 16 = 68.75

Question: 11 is what percent of 16?

Percentage solution with steps:

Step 1: We make the assumption that 16 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\%}={ 16}.

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

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

{100\%}={ 16}(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{ 16}{11}

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

\frac{x\%}{100\%}=\frac{11}{ 16}

\Rightarrow{x} = {68.75\%}

Therefore, {11} is {68.75\%} of { 16}.