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Solution for 31.25 is what percent of 80:

31.25:80*100 =

(31.25*100):80 =

3125:80 = 39.0625

Now we have: 31.25 is what percent of 80 = 39.0625

Question: 31.25 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

Step 4: In the same vein, {x\%}={31.25}.

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

{100\%}={80}(1).

{x\%}={31.25}(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{80}{31.25}

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

\frac{x\%}{100\%}=\frac{31.25}{80}

\Rightarrow{x} = {39.0625\%}

Therefore, {31.25} is {39.0625\%} of {80}.

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Solution for 80 is what percent of 31.25:

80:31.25*100 =

(80*100):31.25 =

8000:31.25 = 256

Now we have: 80 is what percent of 31.25 = 256

Question: 80 is what percent of 31.25?

Percentage solution with steps:

Step 1: We make the assumption that 31.25 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\%}={31.25}.

Step 4: In the same vein, {x\%}={80}.

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

{100\%}={31.25}(1).

{x\%}={80}(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{31.25}{80}

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

\frac{x\%}{100\%}=\frac{80}{31.25}

\Rightarrow{x} = {256\%}

Therefore, {80} is {256\%} of {31.25}.