#### Solution for 38.4 is what percent of 240:

38.4:240*100 =

(38.4*100):240 =

3840:240 = 16

Now we have: 38.4 is what percent of 240 = 16

Question: 38.4 is what percent of 240?

Percentage solution with steps:

Step 1: We make the assumption that 240 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\%}={240}.

Step 4: In the same vein, {x\%}={38.4}.

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

{100\%}={240}(1).

{x\%}={38.4}(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{240}{38.4}

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

\frac{x\%}{100\%}=\frac{38.4}{240}

\Rightarrow{x} = {16\%}

Therefore, {38.4} is {16\%} of {240}.

#### Solution for 240 is what percent of 38.4:

240:38.4*100 =

(240*100):38.4 =

24000:38.4 = 625

Now we have: 240 is what percent of 38.4 = 625

Question: 240 is what percent of 38.4?

Percentage solution with steps:

Step 1: We make the assumption that 38.4 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\%}={38.4}.

Step 4: In the same vein, {x\%}={240}.

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

{100\%}={38.4}(1).

{x\%}={240}(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{38.4}{240}

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

\frac{x\%}{100\%}=\frac{240}{38.4}

\Rightarrow{x} = {625\%}

Therefore, {240} is {625\%} of {38.4}.

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