#### Solution for 2 is what percent of 1000:

2: 1000*100 =

(2*100): 1000 =

200: 1000 = 0.2

Now we have: 2 is what percent of 1000 = 0.2

Question: 2 is what percent of 1000?

Percentage solution with steps:

Step 1: We make the assumption that 1000 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\%}={ 1000}.

Step 4: In the same vein, {x\%}={2}.

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

{100\%}={ 1000}(1).

{x\%}={2}(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{ 1000}{2}

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

\frac{x\%}{100\%}=\frac{2}{ 1000}

\Rightarrow{x} = {0.2\%}

Therefore, {2} is {0.2\%} of { 1000}.

#### Solution for 1000 is what percent of 2:

1000:2*100 =

( 1000*100):2 =

100000:2 = 50000

Now we have: 1000 is what percent of 2 = 50000

Question: 1000 is what percent of 2?

Percentage solution with steps:

Step 1: We make the assumption that 2 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\%}={2}.

Step 4: In the same vein, {x\%}={ 1000}.

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

{100\%}={2}(1).

{x\%}={ 1000}(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{2}{ 1000}

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

\frac{x\%}{100\%}=\frac{ 1000}{2}

\Rightarrow{x} = {50000\%}

Therefore, { 1000} is {50000\%} of {2}.

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