#### Solution for 48 is what percent of 16:

48:16*100 =

( 48*100):16 =

4800:16 = 300

Now we have: 48 is what percent of 16 = 300

Question: 48 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\%}={ 48}.

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

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

{x\%}={ 48}(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}{ 48}

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

\frac{x\%}{100\%}=\frac{ 48}{16}

\Rightarrow{x} = {300\%}

Therefore, { 48} is {300\%} of {16}.

#### Solution for 16 is what percent of 48:

16: 48*100 =

(16*100): 48 =

1600: 48 = 33.33

Now we have: 16 is what percent of 48 = 33.33

Question: 16 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={ 48}.

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

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

{100\%}={ 48}(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{ 48}{16}

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

\frac{x\%}{100\%}=\frac{16}{ 48}

\Rightarrow{x} = {33.33\%}

Therefore, {16} is {33.33\%} of { 48}.

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