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Solution for 77 is what percent of 52:

77:52*100 =

(77*100):52 =

7700:52 = 148.08

Now we have: 77 is what percent of 52 = 148.08

Question: 77 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

Step 4: In the same vein, {x\%}={77}.

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

{100\%}={52}(1).

{x\%}={77}(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{52}{77}

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

\frac{x\%}{100\%}=\frac{77}{52}

\Rightarrow{x} = {148.08\%}

Therefore, {77} is {148.08\%} of {52}.

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Solution for 52 is what percent of 77:

52:77*100 =

(52*100):77 =

5200:77 = 67.53

Now we have: 52 is what percent of 77 = 67.53

Question: 52 is what percent of 77?

Percentage solution with steps:

Step 1: We make the assumption that 77 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\%}={77}.

Step 4: In the same vein, {x\%}={52}.

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

{100\%}={77}(1).

{x\%}={52}(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{77}{52}

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

\frac{x\%}{100\%}=\frac{52}{77}

\Rightarrow{x} = {67.53\%}

Therefore, {52} is {67.53\%} of {77}.