#### Solution for 32 is what percent of 338:

32:338*100 =

(32*100):338 =

3200:338 = 9.47

Now we have: 32 is what percent of 338 = 9.47

Question: 32 is what percent of 338?

Percentage solution with steps:

Step 1: We make the assumption that 338 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\%}={338}.

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

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

{100\%}={338}(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{338}{32}

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

\frac{x\%}{100\%}=\frac{32}{338}

\Rightarrow{x} = {9.47\%}

Therefore, {32} is {9.47\%} of {338}.

#### Solution for 338 is what percent of 32:

338:32*100 =

(338*100):32 =

33800:32 = 1056.25

Now we have: 338 is what percent of 32 = 1056.25

Question: 338 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\%}={338}.

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

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

{x\%}={338}(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}{338}

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

\frac{x\%}{100\%}=\frac{338}{32}

\Rightarrow{x} = {1056.25\%}

Therefore, {338} is {1056.25\%} of {32}.

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