#### Solution for 32 is what percent of 197:

32:197*100 =

(32*100):197 =

3200:197 = 16.24

Now we have: 32 is what percent of 197 = 16.24

Question: 32 is what percent of 197?

Percentage solution with steps:

Step 1: We make the assumption that 197 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\%}={197}.

Step 4: In the same vein, {x\%}={32}.

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

{100\%}={197}(1).

{x\%}={32}(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{197}{32}

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

\frac{x\%}{100\%}=\frac{32}{197}

\Rightarrow{x} = {16.24\%}

Therefore, {32} is {16.24\%} of {197}.

#### Solution for 197 is what percent of 32:

197:32*100 =

(197*100):32 =

19700:32 = 615.63

Now we have: 197 is what percent of 32 = 615.63

Question: 197 is what percent of 32?

Percentage solution with steps:

Step 1: We make the assumption that 32 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\%}={32}.

Step 4: In the same vein, {x\%}={197}.

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

{100\%}={32}(1).

{x\%}={197}(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{32}{197}

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

\frac{x\%}{100\%}=\frac{197}{32}

\Rightarrow{x} = {615.63\%}

Therefore, {197} is {615.63\%} of {32}.

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