#### Solution for 40 is what percent of 57.75:

40:57.75*100 =

(40*100):57.75 =

4000:57.75 = 69.264069264069

Now we have: 40 is what percent of 57.75 = 69.264069264069

Question: 40 is what percent of 57.75?

Percentage solution with steps:

Step 1: We make the assumption that 57.75 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\%}={57.75}.

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

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

{100\%}={57.75}(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{57.75}{40}

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

\frac{x\%}{100\%}=\frac{40}{57.75}

\Rightarrow{x} = {69.264069264069\%}

Therefore, {40} is {69.264069264069\%} of {57.75}.

#### Solution for 57.75 is what percent of 40:

57.75:40*100 =

(57.75*100):40 =

5775:40 = 144.375

Now we have: 57.75 is what percent of 40 = 144.375

Question: 57.75 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\%}={57.75}.

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

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

{x\%}={57.75}(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}{57.75}

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

\frac{x\%}{100\%}=\frac{57.75}{40}

\Rightarrow{x} = {144.375\%}

Therefore, {57.75} is {144.375\%} of {40}.

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