#### Solution for 110 is what percent of 850:

110:850*100 =

(110*100):850 =

11000:850 = 12.94

Now we have: 110 is what percent of 850 = 12.94

Question: 110 is what percent of 850?

Percentage solution with steps:

Step 1: We make the assumption that 850 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\%}={850}.

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

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

{100\%}={850}(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{850}{110}

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

\frac{x\%}{100\%}=\frac{110}{850}

\Rightarrow{x} = {12.94\%}

Therefore, {110} is {12.94\%} of {850}.

#### Solution for 850 is what percent of 110:

850:110*100 =

(850*100):110 =

85000:110 = 772.73

Now we have: 850 is what percent of 110 = 772.73

Question: 850 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\%}={850}.

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

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

{x\%}={850}(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}{850}

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

\frac{x\%}{100\%}=\frac{850}{110}

\Rightarrow{x} = {772.73\%}

Therefore, {850} is {772.73\%} of {110}.

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