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Solution for 40 is what percent of 1585:

40:1585*100 =

(40*100):1585 =

4000:1585 = 2.52

Now we have: 40 is what percent of 1585 = 2.52

Question: 40 is what percent of 1585?

Percentage solution with steps:

Step 1: We make the assumption that 1585 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\%}={1585}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={1585}(1).

{x\%}={40}(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{1585}{40}

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

\frac{x\%}{100\%}=\frac{40}{1585}

\Rightarrow{x} = {2.52\%}

Therefore, {40} is {2.52\%} of {1585}.

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Solution for 1585 is what percent of 40:

1585:40*100 =

(1585*100):40 =

158500:40 = 3962.5

Now we have: 1585 is what percent of 40 = 3962.5

Question: 1585 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={1585}.

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

{100\%}={40}(1).

{x\%}={1585}(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{40}{1585}

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

\frac{x\%}{100\%}=\frac{1585}{40}

\Rightarrow{x} = {3962.5\%}

Therefore, {1585} is {3962.5\%} of {40}.