#### Solution for 511 is what percent of 1020:

511:1020*100 =

(511*100):1020 =

51100:1020 = 50.1

Now we have: 511 is what percent of 1020 = 50.1

Question: 511 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\%}={511}.

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

{100\%}={1020}(1).

{x\%}={511}(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}{511}

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

\frac{x\%}{100\%}=\frac{511}{1020}

\Rightarrow{x} = {50.1\%}

Therefore, {511} is {50.1\%} of {1020}.

#### Solution for 1020 is what percent of 511:

1020:511*100 =

(1020*100):511 =

102000:511 = 199.61

Now we have: 1020 is what percent of 511 = 199.61

Question: 1020 is what percent of 511?

Percentage solution with steps:

Step 1: We make the assumption that 511 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\%}={511}.

Step 4: In the same vein, {x\%}={1020}.

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

{100\%}={511}(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{511}{1020}

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

\frac{x\%}{100\%}=\frac{1020}{511}

\Rightarrow{x} = {199.61\%}

Therefore, {1020} is {199.61\%} of {511}.

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