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Solution for 38 is what percent of 16:

38:16*100 =

(38*100):16 =

3800:16 = 237.5

Now we have: 38 is what percent of 16 = 237.5

Question: 38 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\%}={38}.

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

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

{x\%}={38}(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}{38}

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

\frac{x\%}{100\%}=\frac{38}{16}

\Rightarrow{x} = {237.5\%}

Therefore, {38} is {237.5\%} of {16}.

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Solution for 16 is what percent of 38:

16:38*100 =

(16*100):38 =

1600:38 = 42.11

Now we have: 16 is what percent of 38 = 42.11

Question: 16 is what percent of 38?

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={38}.

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

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

{100\%}={38}(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{38}{16}

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

\frac{x\%}{100\%}=\frac{16}{38}

\Rightarrow{x} = {42.11\%}

Therefore, {16} is {42.11\%} of {38}.