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Solution for 102 is what percent of 86:

102:86*100 =

(102*100):86 =

10200:86 = 118.6

Now we have: 102 is what percent of 86 = 118.6

Question: 102 is what percent of 86?

Percentage solution with steps:

Step 1: We make the assumption that 86 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\%}={86}.

Step 4: In the same vein, {x\%}={102}.

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

{100\%}={86}(1).

{x\%}={102}(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{86}{102}

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

\frac{x\%}{100\%}=\frac{102}{86}

\Rightarrow{x} = {118.6\%}

Therefore, {102} is {118.6\%} of {86}.

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Solution for 86 is what percent of 102:

86:102*100 =

(86*100):102 =

8600:102 = 84.31

Now we have: 86 is what percent of 102 = 84.31

Question: 86 is what percent of 102?

Percentage solution with steps:

Step 1: We make the assumption that 102 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\%}={102}.

Step 4: In the same vein, {x\%}={86}.

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

{100\%}={102}(1).

{x\%}={86}(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{102}{86}

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

\frac{x\%}{100\%}=\frac{86}{102}

\Rightarrow{x} = {84.31\%}

Therefore, {86} is {84.31\%} of {102}.