#### Solution for 85 is what percent of 111:

85:111*100 =

(85*100):111 =

8500:111 = 76.58

Now we have: 85 is what percent of 111 = 76.58

Question: 85 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\%}={85}.

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

{100\%}={111}(1).

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{111}

\Rightarrow{x} = {76.58\%}

Therefore, {85} is {76.58\%} of {111}.

#### Solution for 111 is what percent of 85:

111:85*100 =

(111*100):85 =

11100:85 = 130.59

Now we have: 111 is what percent of 85 = 130.59

Question: 111 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

Step 4: In the same vein, {x\%}={111}.

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

{100\%}={85}(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{85}{111}

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

\frac{x\%}{100\%}=\frac{111}{85}

\Rightarrow{x} = {130.59\%}

Therefore, {111} is {130.59\%} of {85}.

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