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Solution for 142 is what percent of 33:

142:33*100 =

(142*100):33 =

14200:33 = 430.3

Now we have: 142 is what percent of 33 = 430.3

Question: 142 is what percent of 33?

Percentage solution with steps:

Step 1: We make the assumption that 33 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\%}={33}.

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

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

{100\%}={33}(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{33}{142}

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

\frac{x\%}{100\%}=\frac{142}{33}

\Rightarrow{x} = {430.3\%}

Therefore, {142} is {430.3\%} of {33}.

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Solution for 33 is what percent of 142:

33:142*100 =

(33*100):142 =

3300:142 = 23.24

Now we have: 33 is what percent of 142 = 23.24

Question: 33 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\%}={33}.

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

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

{x\%}={33}(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}{33}

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

\frac{x\%}{100\%}=\frac{33}{142}

\Rightarrow{x} = {23.24\%}

Therefore, {33} is {23.24\%} of {142}.