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Solution for 102 is what percent of 25:

102:25*100 =

(102*100):25 =

10200:25 = 408

Now we have: 102 is what percent of 25 = 408

Question: 102 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 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\%}={25}.

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

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

{100\%}={25}(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{25}{102}

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

\frac{x\%}{100\%}=\frac{102}{25}

\Rightarrow{x} = {408\%}

Therefore, {102} is {408\%} of {25}.

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Solution for 25 is what percent of 102:

25:102*100 =

(25*100):102 =

2500:102 = 24.51

Now we have: 25 is what percent of 102 = 24.51

Question: 25 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\%}={25}.

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

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

{x\%}={25}(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}{25}

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

\frac{x\%}{100\%}=\frac{25}{102}

\Rightarrow{x} = {24.51\%}

Therefore, {25} is {24.51\%} of {102}.