#### Solution for 115 is what percent of 120:

115:120*100 =

(115*100):120 =

11500:120 = 95.83

Now we have: 115 is what percent of 120 = 95.83

Question: 115 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

Step 4: In the same vein, {x\%}={115}.

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

{100\%}={120}(1).

{x\%}={115}(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{120}{115}

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

\frac{x\%}{100\%}=\frac{115}{120}

\Rightarrow{x} = {95.83\%}

Therefore, {115} is {95.83\%} of {120}.

#### Solution for 120 is what percent of 115:

120:115*100 =

(120*100):115 =

12000:115 = 104.35

Now we have: 120 is what percent of 115 = 104.35

Question: 120 is what percent of 115?

Percentage solution with steps:

Step 1: We make the assumption that 115 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\%}={115}.

Step 4: In the same vein, {x\%}={120}.

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

{100\%}={115}(1).

{x\%}={120}(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{115}{120}

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

\frac{x\%}{100\%}=\frac{120}{115}

\Rightarrow{x} = {104.35\%}

Therefore, {120} is {104.35\%} of {115}.

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