#### Solution for 31 is what percent of 30:

31: 30*100 =

(31*100): 30 =

3100: 30 = 103.33

Now we have: 31 is what percent of 30 = 103.33

Question: 31 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={ 30}.

Step 4: In the same vein, {x\%}={31}.

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

{100\%}={ 30}(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{ 30}{31}

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

\frac{x\%}{100\%}=\frac{31}{ 30}

\Rightarrow{x} = {103.33\%}

Therefore, {31} is {103.33\%} of { 30}.

#### Solution for 30 is what percent of 31:

30:31*100 =

( 30*100):31 =

3000:31 = 96.77

Now we have: 30 is what percent of 31 = 96.77

Question: 30 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\%}={ 30}.

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

{100\%}={31}(1).

{x\%}={ 30}(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}{ 30}

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

\frac{x\%}{100\%}=\frac{ 30}{31}

\Rightarrow{x} = {96.77\%}

Therefore, { 30} is {96.77\%} of {31}.

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