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Solution for 2003 is what percent of 45:

2003:45*100 =

(2003*100):45 =

200300:45 = 4451.11

Now we have: 2003 is what percent of 45 = 4451.11

Question: 2003 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

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

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

{100\%}={45}(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{45}{2003}

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

\frac{x\%}{100\%}=\frac{2003}{45}

\Rightarrow{x} = {4451.11\%}

Therefore, {2003} is {4451.11\%} of {45}.

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Solution for 45 is what percent of 2003:

45:2003*100 =

(45*100):2003 =

4500:2003 = 2.25

Now we have: 45 is what percent of 2003 = 2.25

Question: 45 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\%}={45}.

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

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

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{2003}

\Rightarrow{x} = {2.25\%}

Therefore, {45} is {2.25\%} of {2003}.