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Solution for 13 is what percent of 66:

13:66*100 =

( 13*100):66 =

1300:66 = 19.7

Now we have: 13 is what percent of 66 = 19.7

Question: 13 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\%}={ 13}.

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

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

{x\%}={ 13}(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}{ 13}

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

\frac{x\%}{100\%}=\frac{ 13}{66}

\Rightarrow{x} = {19.7\%}

Therefore, { 13} is {19.7\%} of {66}.

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Solution for 66 is what percent of 13:

66: 13*100 =

(66*100): 13 =

6600: 13 = 507.69

Now we have: 66 is what percent of 13 = 507.69

Question: 66 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={ 13}.

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

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

{100\%}={ 13}(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{ 13}{66}

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

\frac{x\%}{100\%}=\frac{66}{ 13}

\Rightarrow{x} = {507.69\%}

Therefore, {66} is {507.69\%} of { 13}.