#### Solution for 31 is what percent of 475:

31:475*100 =

(31*100):475 =

3100:475 = 6.53

Now we have: 31 is what percent of 475 = 6.53

Question: 31 is what percent of 475?

Percentage solution with steps:

Step 1: We make the assumption that 475 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\%}={475}.

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

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

{100\%}={475}(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{475}{31}

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

\frac{x\%}{100\%}=\frac{31}{475}

\Rightarrow{x} = {6.53\%}

Therefore, {31} is {6.53\%} of {475}.

#### Solution for 475 is what percent of 31:

475:31*100 =

(475*100):31 =

47500:31 = 1532.26

Now we have: 475 is what percent of 31 = 1532.26

Question: 475 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\%}={475}.

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

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

{x\%}={475}(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}{475}

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

\frac{x\%}{100\%}=\frac{475}{31}

\Rightarrow{x} = {1532.26\%}

Therefore, {475} is {1532.26\%} of {31}.

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