#### Solution for 42 is what percent of 311:

42: 311*100 =

(42*100): 311 =

4200: 311 = 13.5

Now we have: 42 is what percent of 311 = 13.5

Question: 42 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\%}={42}.

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

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

{x\%}={42}(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}{42}

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

\frac{x\%}{100\%}=\frac{42}{ 311}

\Rightarrow{x} = {13.5\%}

Therefore, {42} is {13.5\%} of { 311}.

#### Solution for 311 is what percent of 42:

311:42*100 =

( 311*100):42 =

31100:42 = 740.48

Now we have: 311 is what percent of 42 = 740.48

Question: 311 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

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

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

{100\%}={42}(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{42}{ 311}

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

\frac{x\%}{100\%}=\frac{ 311}{42}

\Rightarrow{x} = {740.48\%}

Therefore, { 311} is {740.48\%} of {42}.

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