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Solution for 142 is what percent of 28:

142:28*100 =

(142*100):28 =

14200:28 = 507.14

Now we have: 142 is what percent of 28 = 507.14

Question: 142 is what percent of 28?

Percentage solution with steps:

Step 1: We make the assumption that 28 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\%}={28}.

Step 4: In the same vein, {x\%}={142}.

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

{100\%}={28}(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{28}{142}

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

\frac{x\%}{100\%}=\frac{142}{28}

\Rightarrow{x} = {507.14\%}

Therefore, {142} is {507.14\%} of {28}.

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Solution for 28 is what percent of 142:

28:142*100 =

(28*100):142 =

2800:142 = 19.72

Now we have: 28 is what percent of 142 = 19.72

Question: 28 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\%}={28}.

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

{100\%}={142}(1).

{x\%}={28}(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}{28}

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

\frac{x\%}{100\%}=\frac{28}{142}

\Rightarrow{x} = {19.72\%}

Therefore, {28} is {19.72\%} of {142}.