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Solution for 240 is what percent of 49:

240:49*100 =

(240*100):49 =

24000:49 = 489.8

Now we have: 240 is what percent of 49 = 489.8

Question: 240 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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}.

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

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

{100\%}={49}(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{49}{240}

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

\frac{x\%}{100\%}=\frac{240}{49}

\Rightarrow{x} = {489.8\%}

Therefore, {240} is {489.8\%} of {49}.

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Solution for 49 is what percent of 240:

49:240*100 =

(49*100):240 =

4900:240 = 20.42

Now we have: 49 is what percent of 240 = 20.42

Question: 49 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\%}={49}.

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

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

{x\%}={49}(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}{49}

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

\frac{x\%}{100\%}=\frac{49}{240}

\Rightarrow{x} = {20.42\%}

Therefore, {49} is {20.42\%} of {240}.