#### Solution for 32 is what percent of 100:

32:100*100 =

( 32*100):100 =

3200:100 = 32

Now we have: 32 is what percent of 100 = 32

Question: 32 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

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

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

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

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

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

\Rightarrow{x} = {32\%}

Therefore, { 32} is {32\%} of {100}.

#### Solution for 100 is what percent of 32:

100: 32*100 =

(100*100): 32 =

10000: 32 = 312.5

Now we have: 100 is what percent of 32 = 312.5

Question: 100 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\%}={100}.

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

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

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {312.5\%}

Therefore, {100} is {312.5\%} of { 32}.

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