#### Solution for 66 is what percent of 240:

66:240*100 =

(66*100):240 =

6600:240 = 27.5

Now we have: 66 is what percent of 240 = 27.5

Question: 66 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\%}={66}.

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

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

{x\%}={66}(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}{66}

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

\frac{x\%}{100\%}=\frac{66}{240}

\Rightarrow{x} = {27.5\%}

Therefore, {66} is {27.5\%} of {240}.

#### Solution for 240 is what percent of 66:

240:66*100 =

(240*100):66 =

24000:66 = 363.64

Now we have: 240 is what percent of 66 = 363.64

Question: 240 is what percent of 66?

Percentage solution with steps:

Step 1: We make the assumption that 66 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\%}={66}.

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

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

{100\%}={66}(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{66}{240}

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

\frac{x\%}{100\%}=\frac{240}{66}

\Rightarrow{x} = {363.64\%}

Therefore, {240} is {363.64\%} of {66}.

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