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Solution for 311 is what percent of 492:

311:492*100 =

(311*100):492 =

31100:492 = 63.21

Now we have: 311 is what percent of 492 = 63.21

Question: 311 is what percent of 492?

Percentage solution with steps:

Step 1: We make the assumption that 492 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\%}={492}.

Step 4: In the same vein, {x\%}={311}.

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

{100\%}={492}(1).

{x\%}={311}(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{492}{311}

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

\frac{x\%}{100\%}=\frac{311}{492}

\Rightarrow{x} = {63.21\%}

Therefore, {311} is {63.21\%} of {492}.

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Solution for 492 is what percent of 311:

492:311*100 =

(492*100):311 =

49200:311 = 158.2

Now we have: 492 is what percent of 311 = 158.2

Question: 492 is what percent of 311?

Percentage solution with steps:

Step 1: We make the assumption that 311 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\%}={311}.

Step 4: In the same vein, {x\%}={492}.

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

{100\%}={311}(1).

{x\%}={492}(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{311}{492}

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

\frac{x\%}{100\%}=\frac{492}{311}

\Rightarrow{x} = {158.2\%}

Therefore, {492} is {158.2\%} of {311}.