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Solution for 102 is what percent of 408:

102:408*100 =

(102*100):408 =

10200:408 = 25

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

Question: 102 is what percent of 408?

Percentage solution with steps:

Step 1: We make the assumption that 408 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\%}={408}.

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

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

{100\%}={408}(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{408}{102}

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

\frac{x\%}{100\%}=\frac{102}{408}

\Rightarrow{x} = {25\%}

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

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Solution for 408 is what percent of 102:

408:102*100 =

(408*100):102 =

40800:102 = 400

Now we have: 408 is what percent of 102 = 400

Question: 408 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\%}={408}.

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

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

{x\%}={408}(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}{408}

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

\frac{x\%}{100\%}=\frac{408}{102}

\Rightarrow{x} = {400\%}

Therefore, {408} is {400\%} of {102}.