#### Solution for 440 is what percent of 264:

440:264*100 =

(440*100):264 =

44000:264 = 166.67

Now we have: 440 is what percent of 264 = 166.67

Question: 440 is what percent of 264?

Percentage solution with steps:

Step 1: We make the assumption that 264 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\%}={264}.

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

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

{100\%}={264}(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{264}{440}

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

\frac{x\%}{100\%}=\frac{440}{264}

\Rightarrow{x} = {166.67\%}

Therefore, {440} is {166.67\%} of {264}.

#### Solution for 264 is what percent of 440:

264:440*100 =

(264*100):440 =

26400:440 = 60

Now we have: 264 is what percent of 440 = 60

Question: 264 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\%}={264}.

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

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

{x\%}={264}(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}{264}

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

\frac{x\%}{100\%}=\frac{264}{440}

\Rightarrow{x} = {60\%}

Therefore, {264} is {60\%} of {440}.

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