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Solution for 1582 is what percent of 40:

1582:40*100 =

(1582*100):40 =

158200:40 = 3955

Now we have: 1582 is what percent of 40 = 3955

Question: 1582 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\%}={1582}.

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

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

{x\%}={1582}(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}{1582}

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

\frac{x\%}{100\%}=\frac{1582}{40}

\Rightarrow{x} = {3955\%}

Therefore, {1582} is {3955\%} of {40}.

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Solution for 40 is what percent of 1582:

40:1582*100 =

(40*100):1582 =

4000:1582 = 2.53

Now we have: 40 is what percent of 1582 = 2.53

Question: 40 is what percent of 1582?

Percentage solution with steps:

Step 1: We make the assumption that 1582 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\%}={1582}.

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

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

{100\%}={1582}(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{1582}{40}

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

\frac{x\%}{100\%}=\frac{40}{1582}

\Rightarrow{x} = {2.53\%}

Therefore, {40} is {2.53\%} of {1582}.