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Solution for 84 is what percent of 116:

84:116*100 =

(84*100):116 =

8400:116 = 72.41

Now we have: 84 is what percent of 116 = 72.41

Question: 84 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\%}={84}.

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

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

{x\%}={84}(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}{84}

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

\frac{x\%}{100\%}=\frac{84}{116}

\Rightarrow{x} = {72.41\%}

Therefore, {84} is {72.41\%} of {116}.

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• 84 is what percent of 31 = 270.97
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Solution for 116 is what percent of 84:

116:84*100 =

(116*100):84 =

11600:84 = 138.1

Now we have: 116 is what percent of 84 = 138.1

Question: 116 is what percent of 84?

Percentage solution with steps:

Step 1: We make the assumption that 84 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\%}={84}.

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

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

{100\%}={84}(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{84}{116}

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

\frac{x\%}{100\%}=\frac{116}{84}

\Rightarrow{x} = {138.1\%}

Therefore, {116} is {138.1\%} of {84}.