#### Solution for 56 is what percent of 160:

56:160*100 =

( 56*100):160 =

5600:160 = 35

Now we have: 56 is what percent of 160 = 35

Question: 56 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\%}={ 56}.

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

{100\%}={160}(1).

{x\%}={ 56}(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}{ 56}

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

\frac{x\%}{100\%}=\frac{ 56}{160}

\Rightarrow{x} = {35\%}

Therefore, { 56} is {35\%} of {160}.

#### Solution for 160 is what percent of 56:

160: 56*100 =

(160*100): 56 =

16000: 56 = 285.71

Now we have: 160 is what percent of 56 = 285.71

Question: 160 is what percent of 56?

Percentage solution with steps:

Step 1: We make the assumption that 56 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\%}={ 56}.

Step 4: In the same vein, {x\%}={160}.

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

{100\%}={ 56}(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{ 56}{160}

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

\frac{x\%}{100\%}=\frac{160}{ 56}

\Rightarrow{x} = {285.71\%}

Therefore, {160} is {285.71\%} of { 56}.

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