#### Solution for 31 is what percent of 59:

31:59*100 =

(31*100):59 =

3100:59 = 52.54

Now we have: 31 is what percent of 59 = 52.54

Question: 31 is what percent of 59?

Percentage solution with steps:

Step 1: We make the assumption that 59 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\%}={59}.

Step 4: In the same vein, {x\%}={31}.

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

{100\%}={59}(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{59}{31}

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

\frac{x\%}{100\%}=\frac{31}{59}

\Rightarrow{x} = {52.54\%}

Therefore, {31} is {52.54\%} of {59}.

#### Solution for 59 is what percent of 31:

59:31*100 =

(59*100):31 =

5900:31 = 190.32

Now we have: 59 is what percent of 31 = 190.32

Question: 59 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\%}={59}.

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

{100\%}={31}(1).

{x\%}={59}(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}{59}

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

\frac{x\%}{100\%}=\frac{59}{31}

\Rightarrow{x} = {190.32\%}

Therefore, {59} is {190.32\%} of {31}.

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