#### Solution for 501 is what percent of 3828:

501:3828*100 =

(501*100):3828 =

50100:3828 = 13.09

Now we have: 501 is what percent of 3828 = 13.09

Question: 501 is what percent of 3828?

Percentage solution with steps:

Step 1: We make the assumption that 3828 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\%}={3828}.

Step 4: In the same vein, {x\%}={501}.

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

{100\%}={3828}(1).

{x\%}={501}(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{3828}{501}

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

\frac{x\%}{100\%}=\frac{501}{3828}

\Rightarrow{x} = {13.09\%}

Therefore, {501} is {13.09\%} of {3828}.

#### Solution for 3828 is what percent of 501:

3828:501*100 =

(3828*100):501 =

382800:501 = 764.07

Now we have: 3828 is what percent of 501 = 764.07

Question: 3828 is what percent of 501?

Percentage solution with steps:

Step 1: We make the assumption that 501 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\%}={501}.

Step 4: In the same vein, {x\%}={3828}.

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

{100\%}={501}(1).

{x\%}={3828}(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{501}{3828}

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

\frac{x\%}{100\%}=\frac{3828}{501}

\Rightarrow{x} = {764.07\%}

Therefore, {3828} is {764.07\%} of {501}.

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