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Solution for 142 is what percent of 41:

142:41*100 =

(142*100):41 =

14200:41 = 346.34

Now we have: 142 is what percent of 41 = 346.34

Question: 142 is what percent of 41?

Percentage solution with steps:

Step 1: We make the assumption that 41 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\%}={41}.

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

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

{100\%}={41}(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{41}{142}

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

\frac{x\%}{100\%}=\frac{142}{41}

\Rightarrow{x} = {346.34\%}

Therefore, {142} is {346.34\%} of {41}.

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Solution for 41 is what percent of 142:

41:142*100 =

(41*100):142 =

4100:142 = 28.87

Now we have: 41 is what percent of 142 = 28.87

Question: 41 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\%}={41}.

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

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

{x\%}={41}(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}{41}

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

\frac{x\%}{100\%}=\frac{41}{142}

\Rightarrow{x} = {28.87\%}

Therefore, {41} is {28.87\%} of {142}.