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Solution for 2003 is what percent of 42:

2003:42*100 =

(2003*100):42 =

200300:42 = 4769.05

Now we have: 2003 is what percent of 42 = 4769.05

Question: 2003 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

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

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

{100\%}={42}(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{42}{2003}

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

\frac{x\%}{100\%}=\frac{2003}{42}

\Rightarrow{x} = {4769.05\%}

Therefore, {2003} is {4769.05\%} of {42}.

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Solution for 42 is what percent of 2003:

42:2003*100 =

(42*100):2003 =

4200:2003 = 2.1

Now we have: 42 is what percent of 2003 = 2.1

Question: 42 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\%}={42}.

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

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

{x\%}={42}(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}{42}

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

\frac{x\%}{100\%}=\frac{42}{2003}

\Rightarrow{x} = {2.1\%}

Therefore, {42} is {2.1\%} of {2003}.