#### Solution for 512 is what percent of 990:

512:990*100 =

(512*100):990 =

51200:990 = 51.72

Now we have: 512 is what percent of 990 = 51.72

Question: 512 is what percent of 990?

Percentage solution with steps:

Step 1: We make the assumption that 990 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\%}={990}.

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

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

{100\%}={990}(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{990}{512}

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

\frac{x\%}{100\%}=\frac{512}{990}

\Rightarrow{x} = {51.72\%}

Therefore, {512} is {51.72\%} of {990}.

#### Solution for 990 is what percent of 512:

990:512*100 =

(990*100):512 =

99000:512 = 193.36

Now we have: 990 is what percent of 512 = 193.36

Question: 990 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\%}={990}.

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

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

{x\%}={990}(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}{990}

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

\frac{x\%}{100\%}=\frac{990}{512}

\Rightarrow{x} = {193.36\%}

Therefore, {990} is {193.36\%} of {512}.

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