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Solution for 311 is what percent of 38:

311:38*100 =

(311*100):38 =

31100:38 = 818.42

Now we have: 311 is what percent of 38 = 818.42

Question: 311 is what percent of 38?

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={38}.

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

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

{100\%}={38}(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{38}{311}

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

\frac{x\%}{100\%}=\frac{311}{38}

\Rightarrow{x} = {818.42\%}

Therefore, {311} is {818.42\%} of {38}.

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Solution for 38 is what percent of 311:

38:311*100 =

(38*100):311 =

3800:311 = 12.22

Now we have: 38 is what percent of 311 = 12.22

Question: 38 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\%}={38}.

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

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

{x\%}={38}(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}{38}

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

\frac{x\%}{100\%}=\frac{38}{311}

\Rightarrow{x} = {12.22\%}

Therefore, {38} is {12.22\%} of {311}.