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Solution for 2003 is what percent of 13:

2003:13*100 =

(2003*100):13 =

200300:13 = 15407.69

Now we have: 2003 is what percent of 13 = 15407.69

Question: 2003 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

Step 4: In the same vein, {x\%}={2003}.

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

{100\%}={13}(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{13}{2003}

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

\frac{x\%}{100\%}=\frac{2003}{13}

\Rightarrow{x} = {15407.69\%}

Therefore, {2003} is {15407.69\%} of {13}.

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Solution for 13 is what percent of 2003:

13:2003*100 =

(13*100):2003 =

1300:2003 = 0.65

Now we have: 13 is what percent of 2003 = 0.65

Question: 13 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\%}={13}.

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

{100\%}={2003}(1).

{x\%}={13}(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}{13}

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

\frac{x\%}{100\%}=\frac{13}{2003}

\Rightarrow{x} = {0.65\%}

Therefore, {13} is {0.65\%} of {2003}.