#### Solution for 8 is what percent of 41:

8:41*100 =

(8*100):41 =

800:41 = 19.51

Now we have: 8 is what percent of 41 = 19.51

Question: 8 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\%}={8}.

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

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

{x\%}={8}(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}{8}

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

\frac{x\%}{100\%}=\frac{8}{41}

\Rightarrow{x} = {19.51\%}

Therefore, {8} is {19.51\%} of {41}.

#### Solution for 41 is what percent of 8:

41:8*100 =

(41*100):8 =

4100:8 = 512.5

Now we have: 41 is what percent of 8 = 512.5

Question: 41 is what percent of 8?

Percentage solution with steps:

Step 1: We make the assumption that 8 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\%}={8}.

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

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

{100\%}={8}(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{8}{41}

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

\frac{x\%}{100\%}=\frac{41}{8}

\Rightarrow{x} = {512.5\%}

Therefore, {41} is {512.5\%} of {8}.

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