#### Solution for 7.92 is what percent of 31.9:

7.92:31.9*100 =

(7.92*100):31.9 =

792:31.9 = 24.827586206897

Now we have: 7.92 is what percent of 31.9 = 24.827586206897

Question: 7.92 is what percent of 31.9?

Percentage solution with steps:

Step 1: We make the assumption that 31.9 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\%}={31.9}.

Step 4: In the same vein, {x\%}={7.92}.

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

{100\%}={31.9}(1).

{x\%}={7.92}(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{31.9}{7.92}

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

\frac{x\%}{100\%}=\frac{7.92}{31.9}

\Rightarrow{x} = {24.827586206897\%}

Therefore, {7.92} is {24.827586206897\%} of {31.9}.

#### Solution for 31.9 is what percent of 7.92:

31.9:7.92*100 =

(31.9*100):7.92 =

3190:7.92 = 402.77777777778

Now we have: 31.9 is what percent of 7.92 = 402.77777777778

Question: 31.9 is what percent of 7.92?

Percentage solution with steps:

Step 1: We make the assumption that 7.92 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\%}={7.92}.

Step 4: In the same vein, {x\%}={31.9}.

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

{100\%}={7.92}(1).

{x\%}={31.9}(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{7.92}{31.9}

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

\frac{x\%}{100\%}=\frac{31.9}{7.92}

\Rightarrow{x} = {402.77777777778\%}

Therefore, {31.9} is {402.77777777778\%} of {7.92}.

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