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Solution for 1001 is what percent of 31:

1001:31*100 =

(1001*100):31 =

100100:31 = 3229.03

Now we have: 1001 is what percent of 31 = 3229.03

Question: 1001 is what percent of 31?

Percentage solution with steps:

Step 1: We make the assumption that 31 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\%}={31}.

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

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

{100\%}={31}(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{31}{1001}

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

\frac{x\%}{100\%}=\frac{1001}{31}

\Rightarrow{x} = {3229.03\%}

Therefore, {1001} is {3229.03\%} of {31}.

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Solution for 31 is what percent of 1001:

31:1001*100 =

(31*100):1001 =

3100:1001 = 3.1

Now we have: 31 is what percent of 1001 = 3.1

Question: 31 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\%}={31}.

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

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

{x\%}={31}(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}{31}

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

\frac{x\%}{100\%}=\frac{31}{1001}

\Rightarrow{x} = {3.1\%}

Therefore, {31} is {3.1\%} of {1001}.