#### Solution for 57 is what percent of 41:

57:41*100 =

(57*100):41 =

5700:41 = 139.02

Now we have: 57 is what percent of 41 = 139.02

Question: 57 is what percent of 41?

Percentage solution with steps:

Step 1: We make the assumption that 41 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\%}={41}.

Step 4: In the same vein, {x\%}={57}.

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

{100\%}={41}(1).

{x\%}={57}(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{41}{57}

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

\frac{x\%}{100\%}=\frac{57}{41}

\Rightarrow{x} = {139.02\%}

Therefore, {57} is {139.02\%} of {41}.

#### Solution for 41 is what percent of 57:

41:57*100 =

(41*100):57 =

4100:57 = 71.93

Now we have: 41 is what percent of 57 = 71.93

Question: 41 is what percent of 57?

Percentage solution with steps:

Step 1: We make the assumption that 57 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}.

Step 4: In the same vein, {x\%}={41}.

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

{100\%}={57}(1).

{x\%}={41}(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}{41}

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

\frac{x\%}{100\%}=\frac{41}{57}

\Rightarrow{x} = {71.93\%}

Therefore, {41} is {71.93\%} of {57}.

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