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Solution for 142 is what percent of 29:

142:29*100 =

(142*100):29 =

14200:29 = 489.66

Now we have: 142 is what percent of 29 = 489.66

Question: 142 is what percent of 29?

Percentage solution with steps:

Step 1: We make the assumption that 29 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\%}={29}.

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

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

{100\%}={29}(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{29}{142}

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

\frac{x\%}{100\%}=\frac{142}{29}

\Rightarrow{x} = {489.66\%}

Therefore, {142} is {489.66\%} of {29}.

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Solution for 29 is what percent of 142:

29:142*100 =

(29*100):142 =

2900:142 = 20.42

Now we have: 29 is what percent of 142 = 20.42

Question: 29 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\%}={29}.

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

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

{x\%}={29}(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}{29}

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

\frac{x\%}{100\%}=\frac{29}{142}

\Rightarrow{x} = {20.42\%}

Therefore, {29} is {20.42\%} of {142}.