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Solution for 31.25 is what percent of 75:

31.25:75*100 =

(31.25*100):75 =

3125:75 = 41.666666666667

Now we have: 31.25 is what percent of 75 = 41.666666666667

Question: 31.25 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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}.

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

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

{100\%}={75}(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{75}{31.25}

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

\frac{x\%}{100\%}=\frac{31.25}{75}

\Rightarrow{x} = {41.666666666667\%}

Therefore, {31.25} is {41.666666666667\%} of {75}.

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Solution for 75 is what percent of 31.25:

75:31.25*100 =

(75*100):31.25 =

7500:31.25 = 240

Now we have: 75 is what percent of 31.25 = 240

Question: 75 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\%}={75}.

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

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

{x\%}={75}(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}{75}

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

\frac{x\%}{100\%}=\frac{75}{31.25}

\Rightarrow{x} = {240\%}

Therefore, {75} is {240\%} of {31.25}.