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Solution for 51 is what percent of 102:

51:102*100 =

(51*100):102 =

5100:102 = 50

Now we have: 51 is what percent of 102 = 50

Question: 51 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\%}={51}.

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

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

{x\%}={51}(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}{51}

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

\frac{x\%}{100\%}=\frac{51}{102}

\Rightarrow{x} = {50\%}

Therefore, {51} is {50\%} of {102}.

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Solution for 102 is what percent of 51:

102:51*100 =

(102*100):51 =

10200:51 = 200

Now we have: 102 is what percent of 51 = 200

Question: 102 is what percent of 51?

Percentage solution with steps:

Step 1: We make the assumption that 51 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\%}={51}.

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

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

{100\%}={51}(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{51}{102}

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

\frac{x\%}{100\%}=\frac{102}{51}

\Rightarrow{x} = {200\%}

Therefore, {102} is {200\%} of {51}.