#### Solution for 160 is what percent of 440:

160:440*100 =

(160*100):440 =

16000:440 = 36.36

Now we have: 160 is what percent of 440 = 36.36

Question: 160 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\%}={160}.

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

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

{x\%}={160}(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}{160}

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

\frac{x\%}{100\%}=\frac{160}{440}

\Rightarrow{x} = {36.36\%}

Therefore, {160} is {36.36\%} of {440}.

#### Solution for 440 is what percent of 160:

440:160*100 =

(440*100):160 =

44000:160 = 275

Now we have: 440 is what percent of 160 = 275

Question: 440 is what percent of 160?

Percentage solution with steps:

Step 1: We make the assumption that 160 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\%}={160}.

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

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

{100\%}={160}(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{160}{440}

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

\frac{x\%}{100\%}=\frac{440}{160}

\Rightarrow{x} = {275\%}

Therefore, {440} is {275\%} of {160}.

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