#### Solution for 116 is what percent of 853:

116:853*100 =

(116*100):853 =

11600:853 = 13.6

Now we have: 116 is what percent of 853 = 13.6

Question: 116 is what percent of 853?

Percentage solution with steps:

Step 1: We make the assumption that 853 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\%}={853}.

Step 4: In the same vein, {x\%}={116}.

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

{100\%}={853}(1).

{x\%}={116}(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{853}{116}

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

\frac{x\%}{100\%}=\frac{116}{853}

\Rightarrow{x} = {13.6\%}

Therefore, {116} is {13.6\%} of {853}.

#### Solution for 853 is what percent of 116:

853:116*100 =

(853*100):116 =

85300:116 = 735.34

Now we have: 853 is what percent of 116 = 735.34

Question: 853 is what percent of 116?

Percentage solution with steps:

Step 1: We make the assumption that 116 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\%}={116}.

Step 4: In the same vein, {x\%}={853}.

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

{100\%}={116}(1).

{x\%}={853}(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{116}{853}

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

\frac{x\%}{100\%}=\frac{853}{116}

\Rightarrow{x} = {735.34\%}

Therefore, {853} is {735.34\%} of {116}.

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