#### Solution for 110 is what percent of 111:

110:111*100 =

(110*100):111 =

11000:111 = 99.1

Now we have: 110 is what percent of 111 = 99.1

Question: 110 is what percent of 111?

Percentage solution with steps:

Step 1: We make the assumption that 111 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\%}={111}.

Step 4: In the same vein, {x\%}={110}.

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

{100\%}={111}(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{111}{110}

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

\frac{x\%}{100\%}=\frac{110}{111}

\Rightarrow{x} = {99.1\%}

Therefore, {110} is {99.1\%} of {111}.

#### Solution for 111 is what percent of 110:

111:110*100 =

(111*100):110 =

11100:110 = 100.91

Now we have: 111 is what percent of 110 = 100.91

Question: 111 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\%}={111}.

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

{100\%}={110}(1).

{x\%}={111}(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}{111}

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

\frac{x\%}{100\%}=\frac{111}{110}

\Rightarrow{x} = {100.91\%}

Therefore, {111} is {100.91\%} of {110}.

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