#### Solution for 160 is what percent of 512:

160:512*100 =

(160*100):512 =

16000:512 = 31.25

Now we have: 160 is what percent of 512 = 31.25

Question: 160 is what percent of 512?

Percentage solution with steps:

Step 1: We make the assumption that 512 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\%}={512}.

Step 4: In the same vein, {x\%}={160}.

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

{100\%}={512}(1).

{x\%}={160}(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{512}{160}

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

\frac{x\%}{100\%}=\frac{160}{512}

\Rightarrow{x} = {31.25\%}

Therefore, {160} is {31.25\%} of {512}.

#### Solution for 512 is what percent of 160:

512:160*100 =

(512*100):160 =

51200:160 = 320

Now we have: 512 is what percent of 160 = 320

Question: 512 is what percent of 160?

Percentage solution with steps:

Step 1: We make the assumption that 160 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\%}={160}.

Step 4: In the same vein, {x\%}={512}.

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

{100\%}={160}(1).

{x\%}={512}(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{160}{512}

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

\frac{x\%}{100\%}=\frac{512}{160}

\Rightarrow{x} = {320\%}

Therefore, {512} is {320\%} of {160}.

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