#### Solution for 23 is what percent of 40:

23: 40*100 =

( 23*100): 40 =

2300: 40 = 57.5

Now we have: 23 is what percent of 40 = 57.5

Question: 23 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={ 40}.

Step 4: In the same vein, {x\%}={ 23}.

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

{100\%}={ 40}(1).

{x\%}={ 23}(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{ 40}{ 23}

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

\frac{x\%}{100\%}=\frac{ 23}{ 40}

\Rightarrow{x} = {57.5\%}

Therefore, { 23} is {57.5\%} of { 40}.

#### Solution for 40 is what percent of 23:

40: 23*100 =

( 40*100): 23 =

4000: 23 = 173.91

Now we have: 40 is what percent of 23 = 173.91

Question: 40 is what percent of 23?

Percentage solution with steps:

Step 1: We make the assumption that 23 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\%}={ 23}.

Step 4: In the same vein, {x\%}={ 40}.

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

{100\%}={ 23}(1).

{x\%}={ 40}(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{ 23}{ 40}

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

\frac{x\%}{100\%}=\frac{ 40}{ 23}

\Rightarrow{x} = {173.91\%}

Therefore, { 40} is {173.91\%} of { 23}.

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