#### Solution for 32 is what percent of 300:

32:300*100 =

(32*100):300 =

3200:300 = 10.67

Now we have: 32 is what percent of 300 = 10.67

Question: 32 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={300}.

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

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

{100\%}={300}(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{300}{32}

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

\frac{x\%}{100\%}=\frac{32}{300}

\Rightarrow{x} = {10.67\%}

Therefore, {32} is {10.67\%} of {300}.

#### Solution for 300 is what percent of 32:

300:32*100 =

(300*100):32 =

30000:32 = 937.5

Now we have: 300 is what percent of 32 = 937.5

Question: 300 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\%}={300}.

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

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

{x\%}={300}(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}{300}

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

\frac{x\%}{100\%}=\frac{300}{32}

\Rightarrow{x} = {937.5\%}

Therefore, {300} is {937.5\%} of {32}.

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