#### Solution for 82 is what percent of 521:

82:521*100 =

(82*100):521 =

8200:521 = 15.74

Now we have: 82 is what percent of 521 = 15.74

Question: 82 is what percent of 521?

Percentage solution with steps:

Step 1: We make the assumption that 521 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\%}={521}.

Step 4: In the same vein, {x\%}={82}.

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

{100\%}={521}(1).

{x\%}={82}(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{521}{82}

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

\frac{x\%}{100\%}=\frac{82}{521}

\Rightarrow{x} = {15.74\%}

Therefore, {82} is {15.74\%} of {521}.

#### Solution for 521 is what percent of 82:

521:82*100 =

(521*100):82 =

52100:82 = 635.37

Now we have: 521 is what percent of 82 = 635.37

Question: 521 is what percent of 82?

Percentage solution with steps:

Step 1: We make the assumption that 82 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\%}={82}.

Step 4: In the same vein, {x\%}={521}.

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

{100\%}={82}(1).

{x\%}={521}(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{82}{521}

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

\frac{x\%}{100\%}=\frac{521}{82}

\Rightarrow{x} = {635.37\%}

Therefore, {521} is {635.37\%} of {82}.

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