#### Solution for 57 is what percent of 56:

57:56*100 =

(57*100):56 =

5700:56 = 101.79

Now we have: 57 is what percent of 56 = 101.79

Question: 57 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\%}={57}.

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

{100\%}={56}(1).

{x\%}={57}(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}{57}

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

\frac{x\%}{100\%}=\frac{57}{56}

\Rightarrow{x} = {101.79\%}

Therefore, {57} is {101.79\%} of {56}.

#### Solution for 56 is what percent of 57:

56:57*100 =

(56*100):57 =

5600:57 = 98.25

Now we have: 56 is what percent of 57 = 98.25

Question: 56 is what percent of 57?

Percentage solution with steps:

Step 1: We make the assumption that 57 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\%}={57}.

Step 4: In the same vein, {x\%}={56}.

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

{100\%}={57}(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{57}{56}

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

\frac{x\%}{100\%}=\frac{56}{57}

\Rightarrow{x} = {98.25\%}

Therefore, {56} is {98.25\%} of {57}.

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