#### Solution for 16 is what percent of 28:

16:28*100 =

(16*100):28 =

1600:28 = 57.14

Now we have: 16 is what percent of 28 = 57.14

Question: 16 is what percent of 28?

Percentage solution with steps:

Step 1: We make the assumption that 28 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\%}={28}.

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

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

{100\%}={28}(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{28}{16}

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

\frac{x\%}{100\%}=\frac{16}{28}

\Rightarrow{x} = {57.14\%}

Therefore, {16} is {57.14\%} of {28}.

#### Solution for 28 is what percent of 16:

28:16*100 =

(28*100):16 =

2800:16 = 175

Now we have: 28 is what percent of 16 = 175

Question: 28 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\%}={28}.

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

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

{x\%}={28}(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}{28}

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

\frac{x\%}{100\%}=\frac{28}{16}

\Rightarrow{x} = {175\%}

Therefore, {28} is {175\%} of {16}.

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