#### Solution for 488 is what percent of 3678:

488:3678*100 =

(488*100):3678 =

48800:3678 = 13.27

Now we have: 488 is what percent of 3678 = 13.27

Question: 488 is what percent of 3678?

Percentage solution with steps:

Step 1: We make the assumption that 3678 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\%}={3678}.

Step 4: In the same vein, {x\%}={488}.

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

{100\%}={3678}(1).

{x\%}={488}(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{3678}{488}

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

\frac{x\%}{100\%}=\frac{488}{3678}

\Rightarrow{x} = {13.27\%}

Therefore, {488} is {13.27\%} of {3678}.

#### Solution for 3678 is what percent of 488:

3678:488*100 =

(3678*100):488 =

367800:488 = 753.69

Now we have: 3678 is what percent of 488 = 753.69

Question: 3678 is what percent of 488?

Percentage solution with steps:

Step 1: We make the assumption that 488 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\%}={488}.

Step 4: In the same vein, {x\%}={3678}.

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

{100\%}={488}(1).

{x\%}={3678}(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{488}{3678}

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

\frac{x\%}{100\%}=\frac{3678}{488}

\Rightarrow{x} = {753.69\%}

Therefore, {3678} is {753.69\%} of {488}.

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