#### Solution for 9 is what percent of 16:

9: 16*100 =

(9*100): 16 =

900: 16 = 56.25

Now we have: 9 is what percent of 16 = 56.25

Question: 9 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\%}={9}.

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

{100\%}={ 16}(1).

{x\%}={9}(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}{9}

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

\frac{x\%}{100\%}=\frac{9}{ 16}

\Rightarrow{x} = {56.25\%}

Therefore, {9} is {56.25\%} of { 16}.

#### Solution for 16 is what percent of 9:

16:9*100 =

( 16*100):9 =

1600:9 = 177.78

Now we have: 16 is what percent of 9 = 177.78

Question: 16 is what percent of 9?

Percentage solution with steps:

Step 1: We make the assumption that 9 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\%}={9}.

Step 4: In the same vein, {x\%}={ 16}.

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

{100\%}={9}(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{9}{ 16}

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

\frac{x\%}{100\%}=\frac{ 16}{9}

\Rightarrow{x} = {177.78\%}

Therefore, { 16} is {177.78\%} of {9}.

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