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Solution for 116 is what percent of 96:

116:96*100 =

(116*100):96 =

11600:96 = 120.83

Now we have: 116 is what percent of 96 = 120.83

Question: 116 is what percent of 96?

Percentage solution with steps:

Step 1: We make the assumption that 96 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\%}={96}.

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

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

{100\%}={96}(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{96}{116}

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

\frac{x\%}{100\%}=\frac{116}{96}

\Rightarrow{x} = {120.83\%}

Therefore, {116} is {120.83\%} of {96}.

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Solution for 96 is what percent of 116:

96:116*100 =

(96*100):116 =

9600:116 = 82.76

Now we have: 96 is what percent of 116 = 82.76

Question: 96 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\%}={96}.

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

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

{x\%}={96}(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}{96}

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

\frac{x\%}{100\%}=\frac{96}{116}

\Rightarrow{x} = {82.76\%}

Therefore, {96} is {82.76\%} of {116}.