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Solution for 1005 is what percent of 31:

1005:31*100 =

(1005*100):31 =

100500:31 = 3241.94

Now we have: 1005 is what percent of 31 = 3241.94

Question: 1005 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\%}={1005}.

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

{100\%}={31}(1).

{x\%}={1005}(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}{1005}

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

\frac{x\%}{100\%}=\frac{1005}{31}

\Rightarrow{x} = {3241.94\%}

Therefore, {1005} is {3241.94\%} of {31}.

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Solution for 31 is what percent of 1005:

31:1005*100 =

(31*100):1005 =

3100:1005 = 3.08

Now we have: 31 is what percent of 1005 = 3.08

Question: 31 is what percent of 1005?

Percentage solution with steps:

Step 1: We make the assumption that 1005 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\%}={1005}.

Step 4: In the same vein, {x\%}={31}.

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

{100\%}={1005}(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{1005}{31}

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

\frac{x\%}{100\%}=\frac{31}{1005}

\Rightarrow{x} = {3.08\%}

Therefore, {31} is {3.08\%} of {1005}.