#### Solution for 1009 is what percent of 2000:

1009:2000*100 =

(1009*100):2000 =

100900:2000 = 50.45

Now we have: 1009 is what percent of 2000 = 50.45

Question: 1009 is what percent of 2000?

Percentage solution with steps:

Step 1: We make the assumption that 2000 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\%}={2000}.

Step 4: In the same vein, {x\%}={1009}.

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

{100\%}={2000}(1).

{x\%}={1009}(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{2000}{1009}

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

\frac{x\%}{100\%}=\frac{1009}{2000}

\Rightarrow{x} = {50.45\%}

Therefore, {1009} is {50.45\%} of {2000}.

#### Solution for 2000 is what percent of 1009:

2000:1009*100 =

(2000*100):1009 =

200000:1009 = 198.22

Now we have: 2000 is what percent of 1009 = 198.22

Question: 2000 is what percent of 1009?

Percentage solution with steps:

Step 1: We make the assumption that 1009 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\%}={1009}.

Step 4: In the same vein, {x\%}={2000}.

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

{100\%}={1009}(1).

{x\%}={2000}(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{1009}{2000}

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

\frac{x\%}{100\%}=\frac{2000}{1009}

\Rightarrow{x} = {198.22\%}

Therefore, {2000} is {198.22\%} of {1009}.

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