#### Solution for 272 is what percent of 521:

272:521*100 =

(272*100):521 =

27200:521 = 52.21

Now we have: 272 is what percent of 521 = 52.21

Question: 272 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\%}={272}.

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

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

{x\%}={272}(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}{272}

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

\frac{x\%}{100\%}=\frac{272}{521}

\Rightarrow{x} = {52.21\%}

Therefore, {272} is {52.21\%} of {521}.

#### Solution for 521 is what percent of 272:

521:272*100 =

(521*100):272 =

52100:272 = 191.54

Now we have: 521 is what percent of 272 = 191.54

Question: 521 is what percent of 272?

Percentage solution with steps:

Step 1: We make the assumption that 272 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\%}={272}.

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

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

{100\%}={272}(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{272}{521}

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

\frac{x\%}{100\%}=\frac{521}{272}

\Rightarrow{x} = {191.54\%}

Therefore, {521} is {191.54\%} of {272}.

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