#### Solution for 41 is what percent of 80:

41: 80*100 =

(41*100): 80 =

4100: 80 = 51.25

Now we have: 41 is what percent of 80 = 51.25

Question: 41 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={ 80}.

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

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

{100\%}={ 80}(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{ 80}{41}

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

\frac{x\%}{100\%}=\frac{41}{ 80}

\Rightarrow{x} = {51.25\%}

Therefore, {41} is {51.25\%} of { 80}.

#### Solution for 80 is what percent of 41:

80:41*100 =

( 80*100):41 =

8000:41 = 195.12

Now we have: 80 is what percent of 41 = 195.12

Question: 80 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\%}={ 80}.

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

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

{x\%}={ 80}(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}{ 80}

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

\frac{x\%}{100\%}=\frac{ 80}{41}

\Rightarrow{x} = {195.12\%}

Therefore, { 80} is {195.12\%} of {41}.

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