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Solution for 37 is what percent of 52:

37:52*100 =

(37*100):52 =

3700:52 = 71.15

Now we have: 37 is what percent of 52 = 71.15

Question: 37 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\%}={37}.

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

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

{x\%}={37}(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}{37}

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

\frac{x\%}{100\%}=\frac{37}{52}

\Rightarrow{x} = {71.15\%}

Therefore, {37} is {71.15\%} of {52}.

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Solution for 52 is what percent of 37:

52:37*100 =

(52*100):37 =

5200:37 = 140.54

Now we have: 52 is what percent of 37 = 140.54

Question: 52 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

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

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

{100\%}={37}(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{37}{52}

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

\frac{x\%}{100\%}=\frac{52}{37}

\Rightarrow{x} = {140.54\%}

Therefore, {52} is {140.54\%} of {37}.