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Solution for 300 is what percent of 66:

300:66*100 =

(300*100):66 =

30000:66 = 454.55

Now we have: 300 is what percent of 66 = 454.55

Question: 300 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\%}={300}.

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

{100\%}={66}(1).

{x\%}={300}(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}{300}

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

\frac{x\%}{100\%}=\frac{300}{66}

\Rightarrow{x} = {454.55\%}

Therefore, {300} is {454.55\%} of {66}.

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Solution for 66 is what percent of 300:

66:300*100 =

(66*100):300 =

6600:300 = 22

Now we have: 66 is what percent of 300 = 22

Question: 66 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={300}.

Step 4: In the same vein, {x\%}={66}.

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

{100\%}={300}(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{300}{66}

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

\frac{x\%}{100\%}=\frac{66}{300}

\Rightarrow{x} = {22\%}

Therefore, {66} is {22\%} of {300}.