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Solution for 142 is what percent of 600:

142:600*100 =

(142*100):600 =

14200:600 = 23.67

Now we have: 142 is what percent of 600 = 23.67

Question: 142 is what percent of 600?

Percentage solution with steps:

Step 1: We make the assumption that 600 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\%}={600}.

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

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

{100\%}={600}(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{600}{142}

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

\frac{x\%}{100\%}=\frac{142}{600}

\Rightarrow{x} = {23.67\%}

Therefore, {142} is {23.67\%} of {600}.

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Solution for 600 is what percent of 142:

600:142*100 =

(600*100):142 =

60000:142 = 422.54

Now we have: 600 is what percent of 142 = 422.54

Question: 600 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\%}={600}.

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

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

{x\%}={600}(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}{600}

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

\frac{x\%}{100\%}=\frac{600}{142}

\Rightarrow{x} = {422.54\%}

Therefore, {600} is {422.54\%} of {142}.