#### Solution for 142 is what percent of 265:

142:265*100 =

(142*100):265 =

14200:265 = 53.58

Now we have: 142 is what percent of 265 = 53.58

Question: 142 is what percent of 265?

Percentage solution with steps:

Step 1: We make the assumption that 265 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\%}={265}.

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

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

{100\%}={265}(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{265}{142}

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

\frac{x\%}{100\%}=\frac{142}{265}

\Rightarrow{x} = {53.58\%}

Therefore, {142} is {53.58\%} of {265}.

#### Solution for 265 is what percent of 142:

265:142*100 =

(265*100):142 =

26500:142 = 186.62

Now we have: 265 is what percent of 142 = 186.62

Question: 265 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\%}={265}.

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

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

{x\%}={265}(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}{265}

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

\frac{x\%}{100\%}=\frac{265}{142}

\Rightarrow{x} = {186.62\%}

Therefore, {265} is {186.62\%} of {142}.

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