#### Solution for 310.79 is what percent of 1200:

310.79: 1200*100 =

(310.79*100): 1200 =

31079: 1200 = 25.899166666667

Now we have: 310.79 is what percent of 1200 = 25.899166666667

Question: 310.79 is what percent of 1200?

Percentage solution with steps:

Step 1: We make the assumption that 1200 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\%}={ 1200}.

Step 4: In the same vein, {x\%}={310.79}.

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

{100\%}={ 1200}(1).

{x\%}={310.79}(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{ 1200}{310.79}

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

\frac{x\%}{100\%}=\frac{310.79}{ 1200}

\Rightarrow{x} = {25.899166666667\%}

Therefore, {310.79} is {25.899166666667\%} of { 1200}.

#### Solution for 1200 is what percent of 310.79:

1200:310.79*100 =

( 1200*100):310.79 =

120000:310.79 = 386.11280929245

Now we have: 1200 is what percent of 310.79 = 386.11280929245

Question: 1200 is what percent of 310.79?

Percentage solution with steps:

Step 1: We make the assumption that 310.79 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\%}={310.79}.

Step 4: In the same vein, {x\%}={ 1200}.

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

{100\%}={310.79}(1).

{x\%}={ 1200}(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{310.79}{ 1200}

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

\frac{x\%}{100\%}=\frac{ 1200}{310.79}

\Rightarrow{x} = {386.11280929245\%}

Therefore, { 1200} is {386.11280929245\%} of {310.79}.

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