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Solution for 1001 is what percent of 46:

1001:46*100 =

(1001*100):46 =

100100:46 = 2176.09

Now we have: 1001 is what percent of 46 = 2176.09

Question: 1001 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

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

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

{100\%}={46}(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{46}{1001}

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

\frac{x\%}{100\%}=\frac{1001}{46}

\Rightarrow{x} = {2176.09\%}

Therefore, {1001} is {2176.09\%} of {46}.

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Solution for 46 is what percent of 1001:

46:1001*100 =

(46*100):1001 =

4600:1001 = 4.6

Now we have: 46 is what percent of 1001 = 4.6

Question: 46 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\%}={46}.

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

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

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{1001}

\Rightarrow{x} = {4.6\%}

Therefore, {46} is {4.6\%} of {1001}.