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Solution for 102 is what percent of 17:

102:17*100 =

(102*100):17 =

10200:17 = 600

Now we have: 102 is what percent of 17 = 600

Question: 102 is what percent of 17?

Percentage solution with steps:

Step 1: We make the assumption that 17 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\%}={17}.

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

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

{100\%}={17}(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{17}{102}

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

\frac{x\%}{100\%}=\frac{102}{17}

\Rightarrow{x} = {600\%}

Therefore, {102} is {600\%} of {17}.

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Solution for 17 is what percent of 102:

17:102*100 =

(17*100):102 =

1700:102 = 16.67

Now we have: 17 is what percent of 102 = 16.67

Question: 17 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\%}={17}.

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

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

{x\%}={17}(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}{17}

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

\frac{x\%}{100\%}=\frac{17}{102}

\Rightarrow{x} = {16.67\%}

Therefore, {17} is {16.67\%} of {102}.