#### Solution for 52 is what percent of 320:

52:320*100 =

(52*100):320 =

5200:320 = 16.25

Now we have: 52 is what percent of 320 = 16.25

Question: 52 is what percent of 320?

Percentage solution with steps:

Step 1: We make the assumption that 320 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\%}={320}.

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

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

{100\%}={320}(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{320}{52}

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

\frac{x\%}{100\%}=\frac{52}{320}

\Rightarrow{x} = {16.25\%}

Therefore, {52} is {16.25\%} of {320}.

#### Solution for 320 is what percent of 52:

320:52*100 =

(320*100):52 =

32000:52 = 615.38

Now we have: 320 is what percent of 52 = 615.38

Question: 320 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\%}={320}.

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

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

{x\%}={320}(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}{320}

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

\frac{x\%}{100\%}=\frac{320}{52}

\Rightarrow{x} = {615.38\%}

Therefore, {320} is {615.38\%} of {52}.

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