#### Solution for 209 is what percent of 1020:

209:1020*100 =

(209*100):1020 =

20900:1020 = 20.49

Now we have: 209 is what percent of 1020 = 20.49

Question: 209 is what percent of 1020?

Percentage solution with steps:

Step 1: We make the assumption that 1020 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\%}={1020}.

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

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

{100\%}={1020}(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{1020}{209}

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

\frac{x\%}{100\%}=\frac{209}{1020}

\Rightarrow{x} = {20.49\%}

Therefore, {209} is {20.49\%} of {1020}.

#### Solution for 1020 is what percent of 209:

1020:209*100 =

(1020*100):209 =

102000:209 = 488.04

Now we have: 1020 is what percent of 209 = 488.04

Question: 1020 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\%}={1020}.

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

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

{x\%}={1020}(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}{1020}

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

\frac{x\%}{100\%}=\frac{1020}{209}

\Rightarrow{x} = {488.04\%}

Therefore, {1020} is {488.04\%} of {209}.

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