#### Solution for 209 is what percent of 255:

209:255*100 =

(209*100):255 =

20900:255 = 81.96

Now we have: 209 is what percent of 255 = 81.96

Question: 209 is what percent of 255?

Percentage solution with steps:

Step 1: We make the assumption that 255 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\%}={255}.

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

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

{100\%}={255}(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{255}{209}

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

\frac{x\%}{100\%}=\frac{209}{255}

\Rightarrow{x} = {81.96\%}

Therefore, {209} is {81.96\%} of {255}.

#### Solution for 255 is what percent of 209:

255:209*100 =

(255*100):209 =

25500:209 = 122.01

Now we have: 255 is what percent of 209 = 122.01

Question: 255 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\%}={255}.

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

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

{x\%}={255}(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}{255}

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

\frac{x\%}{100\%}=\frac{255}{209}

\Rightarrow{x} = {122.01\%}

Therefore, {255} is {122.01\%} of {209}.

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