#### Solution for 13 is what percent of 14:

13:14*100 =

(13*100):14 =

1300:14 = 92.86

Now we have: 13 is what percent of 14 = 92.86

Question: 13 is what percent of 14?

Percentage solution with steps:

Step 1: We make the assumption that 14 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\%}={14}.

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

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

{100\%}={14}(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{14}{13}

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

\frac{x\%}{100\%}=\frac{13}{14}

\Rightarrow{x} = {92.86\%}

Therefore, {13} is {92.86\%} of {14}.

#### Solution for 14 is what percent of 13:

14:13*100 =

(14*100):13 =

1400:13 = 107.69

Now we have: 14 is what percent of 13 = 107.69

Question: 14 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\%}={14}.

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

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

{x\%}={14}(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}{14}

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

\frac{x\%}{100\%}=\frac{14}{13}

\Rightarrow{x} = {107.69\%}

Therefore, {14} is {107.69\%} of {13}.

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