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Solution for 31 is what percent of 99:

31:99*100 =

(31*100):99 =

3100:99 = 31.31

Now we have: 31 is what percent of 99 = 31.31

Question: 31 is what percent of 99?

Percentage solution with steps:

Step 1: We make the assumption that 99 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\%}={99}.

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

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

{100\%}={99}(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{99}{31}

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

\frac{x\%}{100\%}=\frac{31}{99}

\Rightarrow{x} = {31.31\%}

Therefore, {31} is {31.31\%} of {99}.

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Solution for 99 is what percent of 31:

99:31*100 =

(99*100):31 =

9900:31 = 319.35

Now we have: 99 is what percent of 31 = 319.35

Question: 99 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\%}={99}.

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

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

{x\%}={99}(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}{99}

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

\frac{x\%}{100\%}=\frac{99}{31}

\Rightarrow{x} = {319.35\%}

Therefore, {99} is {319.35\%} of {31}.