#### Solution for 31 is what percent of 47:

31:47*100 =

(31*100):47 =

3100:47 = 65.96

Now we have: 31 is what percent of 47 = 65.96

Question: 31 is what percent of 47?

Percentage solution with steps:

Step 1: We make the assumption that 47 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\%}={47}.

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

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

{100\%}={47}(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{47}{31}

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

\frac{x\%}{100\%}=\frac{31}{47}

\Rightarrow{x} = {65.96\%}

Therefore, {31} is {65.96\%} of {47}.

#### Solution for 47 is what percent of 31:

47:31*100 =

(47*100):31 =

4700:31 = 151.61

Now we have: 47 is what percent of 31 = 151.61

Question: 47 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\%}={47}.

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

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

{x\%}={47}(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}{47}

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

\frac{x\%}{100\%}=\frac{47}{31}

\Rightarrow{x} = {151.61\%}

Therefore, {47} is {151.61\%} of {31}.

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