#### Solution for 102 is what percent of 125:

102:125*100 =

(102*100):125 =

10200:125 = 81.6

Now we have: 102 is what percent of 125 = 81.6

Question: 102 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 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\%}={125}.

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

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

{100\%}={125}(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{125}{102}

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

\frac{x\%}{100\%}=\frac{102}{125}

\Rightarrow{x} = {81.6\%}

Therefore, {102} is {81.6\%} of {125}.

#### Solution for 125 is what percent of 102:

125:102*100 =

(125*100):102 =

12500:102 = 122.55

Now we have: 125 is what percent of 102 = 122.55

Question: 125 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\%}={125}.

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

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

{x\%}={125}(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}{125}

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

\frac{x\%}{100\%}=\frac{125}{102}

\Rightarrow{x} = {122.55\%}

Therefore, {125} is {122.55\%} of {102}.

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