#### Solution for 25 is what percent of 440:

25:440*100 =

(25*100):440 =

2500:440 = 5.68

Now we have: 25 is what percent of 440 = 5.68

Question: 25 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\%}={25}.

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

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

{x\%}={25}(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}{25}

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

\frac{x\%}{100\%}=\frac{25}{440}

\Rightarrow{x} = {5.68\%}

Therefore, {25} is {5.68\%} of {440}.

#### Solution for 440 is what percent of 25:

440:25*100 =

(440*100):25 =

44000:25 = 1760

Now we have: 440 is what percent of 25 = 1760

Question: 440 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 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\%}={25}.

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

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

{100\%}={25}(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{25}{440}

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

\frac{x\%}{100\%}=\frac{440}{25}

\Rightarrow{x} = {1760\%}

Therefore, {440} is {1760\%} of {25}.

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