#### Solution for 463 is what percent of 3020:

463:3020*100 =

(463*100):3020 =

46300:3020 = 15.33

Now we have: 463 is what percent of 3020 = 15.33

Question: 463 is what percent of 3020?

Percentage solution with steps:

Step 1: We make the assumption that 3020 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\%}={3020}.

Step 4: In the same vein, {x\%}={463}.

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

{100\%}={3020}(1).

{x\%}={463}(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{3020}{463}

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

\frac{x\%}{100\%}=\frac{463}{3020}

\Rightarrow{x} = {15.33\%}

Therefore, {463} is {15.33\%} of {3020}.

#### Solution for 3020 is what percent of 463:

3020:463*100 =

(3020*100):463 =

302000:463 = 652.27

Now we have: 3020 is what percent of 463 = 652.27

Question: 3020 is what percent of 463?

Percentage solution with steps:

Step 1: We make the assumption that 463 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\%}={463}.

Step 4: In the same vein, {x\%}={3020}.

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

{100\%}={463}(1).

{x\%}={3020}(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{463}{3020}

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

\frac{x\%}{100\%}=\frac{3020}{463}

\Rightarrow{x} = {652.27\%}

Therefore, {3020} is {652.27\%} of {463}.

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