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Solution for 102 is what percent of 442:

102:442*100 =

(102*100):442 =

10200:442 = 23.08

Now we have: 102 is what percent of 442 = 23.08

Question: 102 is what percent of 442?

Percentage solution with steps:

Step 1: We make the assumption that 442 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\%}={442}.

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

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

{100\%}={442}(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{442}{102}

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

\frac{x\%}{100\%}=\frac{102}{442}

\Rightarrow{x} = {23.08\%}

Therefore, {102} is {23.08\%} of {442}.

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Solution for 442 is what percent of 102:

442:102*100 =

(442*100):102 =

44200:102 = 433.33

Now we have: 442 is what percent of 102 = 433.33

Question: 442 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\%}={442}.

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

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

{x\%}={442}(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}{442}

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

\frac{x\%}{100\%}=\frac{442}{102}

\Rightarrow{x} = {433.33\%}

Therefore, {442} is {433.33\%} of {102}.