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Solution for 512 is what percent of 45:

512:45*100 =

(512*100):45 =

51200:45 = 1137.78

Now we have: 512 is what percent of 45 = 1137.78

Question: 512 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

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

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

{100\%}={45}(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{45}{512}

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

\frac{x\%}{100\%}=\frac{512}{45}

\Rightarrow{x} = {1137.78\%}

Therefore, {512} is {1137.78\%} of {45}.

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Solution for 45 is what percent of 512:

45:512*100 =

(45*100):512 =

4500:512 = 8.79

Now we have: 45 is what percent of 512 = 8.79

Question: 45 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\%}={45}.

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

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

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{512}

\Rightarrow{x} = {8.79\%}

Therefore, {45} is {8.79\%} of {512}.