#### Solution for 49.2 is what percent of 246:

49.2:246*100 =

(49.2*100):246 =

4920:246 = 20

Now we have: 49.2 is what percent of 246 = 20

Question: 49.2 is what percent of 246?

Percentage solution with steps:

Step 1: We make the assumption that 246 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\%}={246}.

Step 4: In the same vein, {x\%}={49.2}.

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

{100\%}={246}(1).

{x\%}={49.2}(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{246}{49.2}

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

\frac{x\%}{100\%}=\frac{49.2}{246}

\Rightarrow{x} = {20\%}

Therefore, {49.2} is {20\%} of {246}.

#### Solution for 246 is what percent of 49.2:

246:49.2*100 =

(246*100):49.2 =

24600:49.2 = 500

Now we have: 246 is what percent of 49.2 = 500

Question: 246 is what percent of 49.2?

Percentage solution with steps:

Step 1: We make the assumption that 49.2 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\%}={49.2}.

Step 4: In the same vein, {x\%}={246}.

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

{100\%}={49.2}(1).

{x\%}={246}(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{49.2}{246}

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

\frac{x\%}{100\%}=\frac{246}{49.2}

\Rightarrow{x} = {500\%}

Therefore, {246} is {500\%} of {49.2}.

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