#### Solution for 52 is what percent of 360:

52: 360*100 =

(52*100): 360 =

5200: 360 = 14.44

Now we have: 52 is what percent of 360 = 14.44

Question: 52 is what percent of 360?

Percentage solution with steps:

Step 1: We make the assumption that 360 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\%}={ 360}.

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

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

{100\%}={ 360}(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{ 360}{52}

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

\frac{x\%}{100\%}=\frac{52}{ 360}

\Rightarrow{x} = {14.44\%}

Therefore, {52} is {14.44\%} of { 360}.

#### Solution for 360 is what percent of 52:

360:52*100 =

( 360*100):52 =

36000:52 = 692.31

Now we have: 360 is what percent of 52 = 692.31

Question: 360 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\%}={ 360}.

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

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

{x\%}={ 360}(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}{ 360}

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

\frac{x\%}{100\%}=\frac{ 360}{52}

\Rightarrow{x} = {692.31\%}

Therefore, { 360} is {692.31\%} of {52}.

Calculation Samples