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Solution for 1001 is what percent of 4009:

1001:4009*100 =

(1001*100):4009 =

100100:4009 = 24.97

Now we have: 1001 is what percent of 4009 = 24.97

Question: 1001 is what percent of 4009?

Percentage solution with steps:

Step 1: We make the assumption that 4009 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\%}={4009}.

Step 4: In the same vein, {x\%}={1001}.

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

{100\%}={4009}(1).

{x\%}={1001}(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{4009}{1001}

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

\frac{x\%}{100\%}=\frac{1001}{4009}

\Rightarrow{x} = {24.97\%}

Therefore, {1001} is {24.97\%} of {4009}.

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Solution for 4009 is what percent of 1001:

4009:1001*100 =

(4009*100):1001 =

400900:1001 = 400.5

Now we have: 4009 is what percent of 1001 = 400.5

Question: 4009 is what percent of 1001?

Percentage solution with steps:

Step 1: We make the assumption that 1001 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\%}={1001}.

Step 4: In the same vein, {x\%}={4009}.

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

{100\%}={1001}(1).

{x\%}={4009}(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{1001}{4009}

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

\frac{x\%}{100\%}=\frac{4009}{1001}

\Rightarrow{x} = {400.5\%}

Therefore, {4009} is {400.5\%} of {1001}.