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Solution for 31 is what percent of 42:

31:42*100 =

( 31*100):42 =

3100:42 = 73.81

Now we have: 31 is what percent of 42 = 73.81

Question: 31 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\%}={ 31}.

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

{100\%}={42}(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{42}{ 31}

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

\frac{x\%}{100\%}=\frac{ 31}{42}

\Rightarrow{x} = {73.81\%}

Therefore, { 31} is {73.81\%} of {42}.

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Solution for 42 is what percent of 31:

42: 31*100 =

(42*100): 31 =

4200: 31 = 135.48

Now we have: 42 is what percent of 31 = 135.48

Question: 42 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\%}={42}.

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

{100\%}={ 31}(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{ 31}{42}

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

\frac{x\%}{100\%}=\frac{42}{ 31}

\Rightarrow{x} = {135.48\%}

Therefore, {42} is {135.48\%} of { 31}.