#### Solution for 36 is what percent of 166:

36:166*100 =

(36*100):166 =

3600:166 = 21.69

Now we have: 36 is what percent of 166 = 21.69

Question: 36 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\%}={36}.

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

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

{x\%}={36}(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}{36}

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

\frac{x\%}{100\%}=\frac{36}{166}

\Rightarrow{x} = {21.69\%}

Therefore, {36} is {21.69\%} of {166}.

#### Solution for 166 is what percent of 36:

166:36*100 =

(166*100):36 =

16600:36 = 461.11

Now we have: 166 is what percent of 36 = 461.11

Question: 166 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={36}.

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

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

{100\%}={36}(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{36}{166}

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

\frac{x\%}{100\%}=\frac{166}{36}

\Rightarrow{x} = {461.11\%}

Therefore, {166} is {461.11\%} of {36}.

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