#### Solution for 31 is what percent of 38:

31:38*100 =

( 31*100):38 =

3100:38 = 81.58

Now we have: 31 is what percent of 38 = 81.58

Question: 31 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\%}={ 31}.

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

{100\%}={38}(1).

{x\%}={ 31}(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}{ 31}

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

\frac{x\%}{100\%}=\frac{ 31}{38}

\Rightarrow{x} = {81.58\%}

Therefore, { 31} is {81.58\%} of {38}.

#### Solution for 38 is what percent of 31:

38: 31*100 =

(38*100): 31 =

3800: 31 = 122.58

Now we have: 38 is what percent of 31 = 122.58

Question: 38 is what percent of 31?

Percentage solution with steps:

Step 1: We make the assumption that 31 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\%}={ 31}.

Step 4: In the same vein, {x\%}={38}.

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

{100\%}={ 31}(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{ 31}{38}

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

\frac{x\%}{100\%}=\frac{38}{ 31}

\Rightarrow{x} = {122.58\%}

Therefore, {38} is {122.58\%} of { 31}.

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