#### Solution for 13 is what percent of 17:

13:17*100 =

(13*100):17 =

1300:17 = 76.47

Now we have: 13 is what percent of 17 = 76.47

Question: 13 is what percent of 17?

Percentage solution with steps:

Step 1: We make the assumption that 17 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\%}={17}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={17}(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{17}{13}

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

\frac{x\%}{100\%}=\frac{13}{17}

\Rightarrow{x} = {76.47\%}

Therefore, {13} is {76.47\%} of {17}.

#### Solution for 17 is what percent of 13:

17:13*100 =

(17*100):13 =

1700:13 = 130.77

Now we have: 17 is what percent of 13 = 130.77

Question: 17 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\%}={17}.

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

{100\%}={13}(1).

{x\%}={17}(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}{17}

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

\frac{x\%}{100\%}=\frac{17}{13}

\Rightarrow{x} = {130.77\%}

Therefore, {17} is {130.77\%} of {13}.

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