#### Solution for 166 is what percent of 397:

166:397*100 =

(166*100):397 =

16600:397 = 41.81

Now we have: 166 is what percent of 397 = 41.81

Question: 166 is what percent of 397?

Percentage solution with steps:

Step 1: We make the assumption that 397 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\%}={397}.

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

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

{100\%}={397}(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{397}{166}

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

\frac{x\%}{100\%}=\frac{166}{397}

\Rightarrow{x} = {41.81\%}

Therefore, {166} is {41.81\%} of {397}.

#### Solution for 397 is what percent of 166:

397:166*100 =

(397*100):166 =

39700:166 = 239.16

Now we have: 397 is what percent of 166 = 239.16

Question: 397 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\%}={397}.

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

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

{x\%}={397}(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}{397}

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

\frac{x\%}{100\%}=\frac{397}{166}

\Rightarrow{x} = {239.16\%}

Therefore, {397} is {239.16\%} of {166}.

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