#### Solution for 3 is what percent of 166:

3:166*100 =

(3*100):166 =

300:166 = 1.81

Now we have: 3 is what percent of 166 = 1.81

Question: 3 is what percent of 166?

Percentage solution with steps:

Step 1: We make the assumption that 166 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\%}={166}.

Step 4: In the same vein, {x\%}={3}.

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

{100\%}={166}(1).

{x\%}={3}(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{166}{3}

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

\frac{x\%}{100\%}=\frac{3}{166}

\Rightarrow{x} = {1.81\%}

Therefore, {3} is {1.81\%} of {166}.

#### Solution for 166 is what percent of 3:

166:3*100 =

(166*100):3 =

16600:3 = 5533.33

Now we have: 166 is what percent of 3 = 5533.33

Question: 166 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={3}.

Step 4: In the same vein, {x\%}={166}.

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

{100\%}={3}(1).

{x\%}={166}(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{3}{166}

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

\frac{x\%}{100\%}=\frac{166}{3}

\Rightarrow{x} = {5533.33\%}

Therefore, {166} is {5533.33\%} of {3}.

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