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Solution for 102 is what percent of 108:

102:108*100 =

(102*100):108 =

10200:108 = 94.44

Now we have: 102 is what percent of 108 = 94.44

Question: 102 is what percent of 108?

Percentage solution with steps:

Step 1: We make the assumption that 108 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\%}={108}.

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

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

{100\%}={108}(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{108}{102}

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

\frac{x\%}{100\%}=\frac{102}{108}

\Rightarrow{x} = {94.44\%}

Therefore, {102} is {94.44\%} of {108}.

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Solution for 108 is what percent of 102:

108:102*100 =

(108*100):102 =

10800:102 = 105.88

Now we have: 108 is what percent of 102 = 105.88

Question: 108 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\%}={108}.

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

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

{x\%}={108}(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}{108}

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

\frac{x\%}{100\%}=\frac{108}{102}

\Rightarrow{x} = {105.88\%}

Therefore, {108} is {105.88\%} of {102}.