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Solution for 31 is what percent of 56:

31:56*100 =

(31*100):56 =

3100:56 = 55.36

Now we have: 31 is what percent of 56 = 55.36

Question: 31 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\%}={31}.

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

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

{x\%}={31}(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}{31}

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

\frac{x\%}{100\%}=\frac{31}{56}

\Rightarrow{x} = {55.36\%}

Therefore, {31} is {55.36\%} of {56}.

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Solution for 56 is what percent of 31:

56:31*100 =

(56*100):31 =

5600:31 = 180.65

Now we have: 56 is what percent of 31 = 180.65

Question: 56 is what percent of 31?

Percentage solution with steps:

Step 1: We make the assumption that 31 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\%}={31}.

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

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

{100\%}={31}(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{31}{56}

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

\frac{x\%}{100\%}=\frac{56}{31}

\Rightarrow{x} = {180.65\%}

Therefore, {56} is {180.65\%} of {31}.