#### Solution for 13 is what percent of 206:

13:206*100 =

(13*100):206 =

1300:206 = 6.31

Now we have: 13 is what percent of 206 = 6.31

Question: 13 is what percent of 206?

Percentage solution with steps:

Step 1: We make the assumption that 206 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\%}={206}.

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

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

{100\%}={206}(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{206}{13}

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

\frac{x\%}{100\%}=\frac{13}{206}

\Rightarrow{x} = {6.31\%}

Therefore, {13} is {6.31\%} of {206}.

#### Solution for 206 is what percent of 13:

206:13*100 =

(206*100):13 =

20600:13 = 1584.62

Now we have: 206 is what percent of 13 = 1584.62

Question: 206 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\%}={206}.

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

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

{x\%}={206}(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}{206}

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

\frac{x\%}{100\%}=\frac{206}{13}

\Rightarrow{x} = {1584.62\%}

Therefore, {206} is {1584.62\%} of {13}.

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