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Solution for 31 is what percent of 101:

31:101*100 =

(31*100):101 =

3100:101 = 30.69

Now we have: 31 is what percent of 101 = 30.69

Question: 31 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

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

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

{100\%}={101}(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{101}{31}

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

\frac{x\%}{100\%}=\frac{31}{101}

\Rightarrow{x} = {30.69\%}

Therefore, {31} is {30.69\%} of {101}.

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Solution for 101 is what percent of 31:

101:31*100 =

(101*100):31 =

10100:31 = 325.81

Now we have: 101 is what percent of 31 = 325.81

Question: 101 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\%}={101}.

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

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

{x\%}={101}(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}{101}

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

\frac{x\%}{100\%}=\frac{101}{31}

\Rightarrow{x} = {325.81\%}

Therefore, {101} is {325.81\%} of {31}.