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Solution for 52 is what percent of 365:

52:365*100 =

(52*100):365 =

5200:365 = 14.25

Now we have: 52 is what percent of 365 = 14.25

Question: 52 is what percent of 365?

Percentage solution with steps:

Step 1: We make the assumption that 365 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\%}={365}.

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

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

{100\%}={365}(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{365}{52}

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

\frac{x\%}{100\%}=\frac{52}{365}

\Rightarrow{x} = {14.25\%}

Therefore, {52} is {14.25\%} of {365}.

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Solution for 365 is what percent of 52:

365:52*100 =

(365*100):52 =

36500:52 = 701.92

Now we have: 365 is what percent of 52 = 701.92

Question: 365 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\%}={365}.

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

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

{x\%}={365}(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}{365}

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

\frac{x\%}{100\%}=\frac{365}{52}

\Rightarrow{x} = {701.92\%}

Therefore, {365} is {701.92\%} of {52}.