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Solution for 1004 is what percent of 41:

1004:41*100 =

(1004*100):41 =

100400:41 = 2448.78

Now we have: 1004 is what percent of 41 = 2448.78

Question: 1004 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\%}={1004}.

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

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

{x\%}={1004}(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}{1004}

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

\frac{x\%}{100\%}=\frac{1004}{41}

\Rightarrow{x} = {2448.78\%}

Therefore, {1004} is {2448.78\%} of {41}.

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Solution for 41 is what percent of 1004:

41:1004*100 =

(41*100):1004 =

4100:1004 = 4.08

Now we have: 41 is what percent of 1004 = 4.08

Question: 41 is what percent of 1004?

Percentage solution with steps:

Step 1: We make the assumption that 1004 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\%}={1004}.

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

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

{100\%}={1004}(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{1004}{41}

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

\frac{x\%}{100\%}=\frac{41}{1004}

\Rightarrow{x} = {4.08\%}

Therefore, {41} is {4.08\%} of {1004}.