#### Solution for 36 is what percent of 209:

36:209*100 =

(36*100):209 =

3600:209 = 17.22

Now we have: 36 is what percent of 209 = 17.22

Question: 36 is what percent of 209?

Percentage solution with steps:

Step 1: We make the assumption that 209 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\%}={209}.

Step 4: In the same vein, {x\%}={36}.

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

{100\%}={209}(1).

{x\%}={36}(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{209}{36}

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

\frac{x\%}{100\%}=\frac{36}{209}

\Rightarrow{x} = {17.22\%}

Therefore, {36} is {17.22\%} of {209}.

#### Solution for 209 is what percent of 36:

209:36*100 =

(209*100):36 =

20900:36 = 580.56

Now we have: 209 is what percent of 36 = 580.56

Question: 209 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={36}.

Step 4: In the same vein, {x\%}={209}.

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

{100\%}={36}(1).

{x\%}={209}(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{36}{209}

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

\frac{x\%}{100\%}=\frac{209}{36}

\Rightarrow{x} = {580.56\%}

Therefore, {209} is {580.56\%} of {36}.

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