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Solution for 2008 is what percent of 45:

2008:45*100 =

(2008*100):45 =

200800:45 = 4462.22

Now we have: 2008 is what percent of 45 = 4462.22

Question: 2008 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\%}={2008}.

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

{100\%}={45}(1).

{x\%}={2008}(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}{2008}

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

\frac{x\%}{100\%}=\frac{2008}{45}

\Rightarrow{x} = {4462.22\%}

Therefore, {2008} is {4462.22\%} of {45}.

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Solution for 45 is what percent of 2008:

45:2008*100 =

(45*100):2008 =

4500:2008 = 2.24

Now we have: 45 is what percent of 2008 = 2.24

Question: 45 is what percent of 2008?

Percentage solution with steps:

Step 1: We make the assumption that 2008 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\%}={2008}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={2008}(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{2008}{45}

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

\frac{x\%}{100\%}=\frac{45}{2008}

\Rightarrow{x} = {2.24\%}

Therefore, {45} is {2.24\%} of {2008}.