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Solution for 139.5 is what percent of 31:

139.5:31*100 =

(139.5*100):31 =

13950:31 = 450

Now we have: 139.5 is what percent of 31 = 450

Question: 139.5 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\%}={139.5}.

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

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

{x\%}={139.5}(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}{139.5}

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

\frac{x\%}{100\%}=\frac{139.5}{31}

\Rightarrow{x} = {450\%}

Therefore, {139.5} is {450\%} of {31}.

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• 139.5 is what percent of 100 = 139.5

Solution for 31 is what percent of 139.5:

31:139.5*100 =

(31*100):139.5 =

3100:139.5 = 22.222222222222

Now we have: 31 is what percent of 139.5 = 22.222222222222

Question: 31 is what percent of 139.5?

Percentage solution with steps:

Step 1: We make the assumption that 139.5 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\%}={139.5}.

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

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

{100\%}={139.5}(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{139.5}{31}

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

\frac{x\%}{100\%}=\frac{31}{139.5}

\Rightarrow{x} = {22.222222222222\%}

Therefore, {31} is {22.222222222222\%} of {139.5}.