#### Solution for 2000 is what percent of 12000:

2000:12000*100 =

(2000*100):12000 =

200000:12000 = 16.67

Now we have: 2000 is what percent of 12000 = 16.67

Question: 2000 is what percent of 12000?

Percentage solution with steps:

Step 1: We make the assumption that 12000 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\%}={12000}.

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

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

{100\%}={12000}(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{12000}{2000}

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

\frac{x\%}{100\%}=\frac{2000}{12000}

\Rightarrow{x} = {16.67\%}

Therefore, {2000} is {16.67\%} of {12000}.

#### Solution for 12000 is what percent of 2000:

12000:2000*100 =

(12000*100):2000 =

1200000:2000 = 600

Now we have: 12000 is what percent of 2000 = 600

Question: 12000 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\%}={12000}.

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

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

{x\%}={12000}(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}{12000}

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

\frac{x\%}{100\%}=\frac{12000}{2000}

\Rightarrow{x} = {600\%}

Therefore, {12000} is {600\%} of {2000}.

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