#### Solution for 107 is what percent of 308:

107:308*100 =

(107*100):308 =

10700:308 = 34.74

Now we have: 107 is what percent of 308 = 34.74

Question: 107 is what percent of 308?

Percentage solution with steps:

Step 1: We make the assumption that 308 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\%}={308}.

Step 4: In the same vein, {x\%}={107}.

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

{100\%}={308}(1).

{x\%}={107}(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{308}{107}

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

\frac{x\%}{100\%}=\frac{107}{308}

\Rightarrow{x} = {34.74\%}

Therefore, {107} is {34.74\%} of {308}.

#### Solution for 308 is what percent of 107:

308:107*100 =

(308*100):107 =

30800:107 = 287.85

Now we have: 308 is what percent of 107 = 287.85

Question: 308 is what percent of 107?

Percentage solution with steps:

Step 1: We make the assumption that 107 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\%}={107}.

Step 4: In the same vein, {x\%}={308}.

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

{100\%}={107}(1).

{x\%}={308}(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{107}{308}

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

\frac{x\%}{100\%}=\frac{308}{107}

\Rightarrow{x} = {287.85\%}

Therefore, {308} is {287.85\%} of {107}.

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