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Solution for 311 is what percent of 83:

311:83*100 =

(311*100):83 =

31100:83 = 374.7

Now we have: 311 is what percent of 83 = 374.7

Question: 311 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

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

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

{100\%}={83}(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{83}{311}

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

\frac{x\%}{100\%}=\frac{311}{83}

\Rightarrow{x} = {374.7\%}

Therefore, {311} is {374.7\%} of {83}.

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Solution for 83 is what percent of 311:

83:311*100 =

(83*100):311 =

8300:311 = 26.69

Now we have: 83 is what percent of 311 = 26.69

Question: 83 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\%}={83}.

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

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

{x\%}={83}(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}{83}

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

\frac{x\%}{100\%}=\frac{83}{311}

\Rightarrow{x} = {26.69\%}

Therefore, {83} is {26.69\%} of {311}.