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Solution for 75.5 is what percent of 31:

75.5:31*100 =

(75.5*100):31 =

7550:31 = 243.54838709677

Now we have: 75.5 is what percent of 31 = 243.54838709677

Question: 75.5 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\%}={75.5}.

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

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

{x\%}={75.5}(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}{75.5}

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

\frac{x\%}{100\%}=\frac{75.5}{31}

\Rightarrow{x} = {243.54838709677\%}

Therefore, {75.5} is {243.54838709677\%} of {31}.

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• 75.5 is what percent of 100 = 75.5

Solution for 31 is what percent of 75.5:

31:75.5*100 =

(31*100):75.5 =

3100:75.5 = 41.059602649007

Now we have: 31 is what percent of 75.5 = 41.059602649007

Question: 31 is what percent of 75.5?

Percentage solution with steps:

Step 1: We make the assumption that 75.5 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\%}={75.5}.

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

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

{100\%}={75.5}(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{75.5}{31}

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

\frac{x\%}{100\%}=\frac{31}{75.5}

\Rightarrow{x} = {41.059602649007\%}

Therefore, {31} is {41.059602649007\%} of {75.5}.