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Solution for 142 is what percent of 51:

142:51*100 =

(142*100):51 =

14200:51 = 278.43

Now we have: 142 is what percent of 51 = 278.43

Question: 142 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\%}={142}.

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

{100\%}={51}(1).

{x\%}={142}(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}{142}

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

\frac{x\%}{100\%}=\frac{142}{51}

\Rightarrow{x} = {278.43\%}

Therefore, {142} is {278.43\%} of {51}.

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Solution for 51 is what percent of 142:

51:142*100 =

(51*100):142 =

5100:142 = 35.92

Now we have: 51 is what percent of 142 = 35.92

Question: 51 is what percent of 142?

Percentage solution with steps:

Step 1: We make the assumption that 142 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\%}={142}.

Step 4: In the same vein, {x\%}={51}.

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

{100\%}={142}(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{142}{51}

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

\frac{x\%}{100\%}=\frac{51}{142}

\Rightarrow{x} = {35.92\%}

Therefore, {51} is {35.92\%} of {142}.