#### Solution for 2 is what percent of 1667:

2:1667*100 =

(2*100):1667 =

200:1667 = 0.12

Now we have: 2 is what percent of 1667 = 0.12

Question: 2 is what percent of 1667?

Percentage solution with steps:

Step 1: We make the assumption that 1667 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\%}={1667}.

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

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

{100\%}={1667}(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{1667}{2}

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

\frac{x\%}{100\%}=\frac{2}{1667}

\Rightarrow{x} = {0.12\%}

Therefore, {2} is {0.12\%} of {1667}.

#### Solution for 1667 is what percent of 2:

1667:2*100 =

(1667*100):2 =

166700:2 = 83350

Now we have: 1667 is what percent of 2 = 83350

Question: 1667 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\%}={1667}.

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

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

{x\%}={1667}(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}{1667}

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

\frac{x\%}{100\%}=\frac{1667}{2}

\Rightarrow{x} = {83350\%}

Therefore, {1667} is {83350\%} of {2}.

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