#### Solution for 110 is what percent of 32:

110:32*100 =

(110*100):32 =

11000:32 = 343.75

Now we have: 110 is what percent of 32 = 343.75

Question: 110 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\%}={110}.

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

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

{x\%}={110}(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}{110}

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

\frac{x\%}{100\%}=\frac{110}{32}

\Rightarrow{x} = {343.75\%}

Therefore, {110} is {343.75\%} of {32}.

#### Solution for 32 is what percent of 110:

32:110*100 =

(32*100):110 =

3200:110 = 29.09

Now we have: 32 is what percent of 110 = 29.09

Question: 32 is what percent of 110?

Percentage solution with steps:

Step 1: We make the assumption that 110 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\%}={110}.

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

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

{100\%}={110}(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{110}{32}

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

\frac{x\%}{100\%}=\frac{32}{110}

\Rightarrow{x} = {29.09\%}

Therefore, {32} is {29.09\%} of {110}.

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