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Solution for 2003 is what percent of 40:

2003:40*100 =

(2003*100):40 =

200300:40 = 5007.5

Now we have: 2003 is what percent of 40 = 5007.5

Question: 2003 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\%}={2003}.

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

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

{x\%}={2003}(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}{2003}

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

\frac{x\%}{100\%}=\frac{2003}{40}

\Rightarrow{x} = {5007.5\%}

Therefore, {2003} is {5007.5\%} of {40}.

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Solution for 40 is what percent of 2003:

40:2003*100 =

(40*100):2003 =

4000:2003 = 2

Now we have: 40 is what percent of 2003 = 2

Question: 40 is what percent of 2003?

Percentage solution with steps:

Step 1: We make the assumption that 2003 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\%}={2003}.

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

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

{100\%}={2003}(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{2003}{40}

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

\frac{x\%}{100\%}=\frac{40}{2003}

\Rightarrow{x} = {2\%}

Therefore, {40} is {2\%} of {2003}.