#### Solution for 542 is what percent of 765:

542:765*100 =

(542*100):765 =

54200:765 = 70.85

Now we have: 542 is what percent of 765 = 70.85

Question: 542 is what percent of 765?

Percentage solution with steps:

Step 1: We make the assumption that 765 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\%}={765}.

Step 4: In the same vein, {x\%}={542}.

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

{100\%}={765}(1).

{x\%}={542}(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{765}{542}

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

\frac{x\%}{100\%}=\frac{542}{765}

\Rightarrow{x} = {70.85\%}

Therefore, {542} is {70.85\%} of {765}.

#### Solution for 765 is what percent of 542:

765:542*100 =

(765*100):542 =

76500:542 = 141.14

Now we have: 765 is what percent of 542 = 141.14

Question: 765 is what percent of 542?

Percentage solution with steps:

Step 1: We make the assumption that 542 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\%}={542}.

Step 4: In the same vein, {x\%}={765}.

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

{100\%}={542}(1).

{x\%}={765}(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{542}{765}

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

\frac{x\%}{100\%}=\frac{765}{542}

\Rightarrow{x} = {141.14\%}

Therefore, {765} is {141.14\%} of {542}.

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