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Solution for 2005 is what percent of 42:

2005:42*100 =

(2005*100):42 =

200500:42 = 4773.81

Now we have: 2005 is what percent of 42 = 4773.81

Question: 2005 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\%}={2005}.

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

{100\%}={42}(1).

{x\%}={2005}(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}{2005}

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

\frac{x\%}{100\%}=\frac{2005}{42}

\Rightarrow{x} = {4773.81\%}

Therefore, {2005} is {4773.81\%} of {42}.

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Solution for 42 is what percent of 2005:

42:2005*100 =

(42*100):2005 =

4200:2005 = 2.09

Now we have: 42 is what percent of 2005 = 2.09

Question: 42 is what percent of 2005?

Percentage solution with steps:

Step 1: We make the assumption that 2005 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\%}={2005}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={2005}(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{2005}{42}

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

\frac{x\%}{100\%}=\frac{42}{2005}

\Rightarrow{x} = {2.09\%}

Therefore, {42} is {2.09\%} of {2005}.