#### Solution for 495 is what percent of 440:

495:440*100 =

(495*100):440 =

49500:440 = 112.5

Now we have: 495 is what percent of 440 = 112.5

Question: 495 is what percent of 440?

Percentage solution with steps:

Step 1: We make the assumption that 440 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\%}={440}.

Step 4: In the same vein, {x\%}={495}.

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

{100\%}={440}(1).

{x\%}={495}(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{440}{495}

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

\frac{x\%}{100\%}=\frac{495}{440}

\Rightarrow{x} = {112.5\%}

Therefore, {495} is {112.5\%} of {440}.

#### Solution for 440 is what percent of 495:

440:495*100 =

(440*100):495 =

44000:495 = 88.89

Now we have: 440 is what percent of 495 = 88.89

Question: 440 is what percent of 495?

Percentage solution with steps:

Step 1: We make the assumption that 495 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\%}={495}.

Step 4: In the same vein, {x\%}={440}.

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

{100\%}={495}(1).

{x\%}={440}(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{495}{440}

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

\frac{x\%}{100\%}=\frac{440}{495}

\Rightarrow{x} = {88.89\%}

Therefore, {440} is {88.89\%} of {495}.

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