#### Solution for 126 is what percent of 115:

126:115*100 =

(126*100):115 =

12600:115 = 109.57

Now we have: 126 is what percent of 115 = 109.57

Question: 126 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\%}={126}.

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

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

{x\%}={126}(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}{126}

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

\frac{x\%}{100\%}=\frac{126}{115}

\Rightarrow{x} = {109.57\%}

Therefore, {126} is {109.57\%} of {115}.

#### Solution for 115 is what percent of 126:

115:126*100 =

(115*100):126 =

11500:126 = 91.27

Now we have: 115 is what percent of 126 = 91.27

Question: 115 is what percent of 126?

Percentage solution with steps:

Step 1: We make the assumption that 126 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\%}={126}.

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

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

{100\%}={126}(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{126}{115}

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

\frac{x\%}{100\%}=\frac{115}{126}

\Rightarrow{x} = {91.27\%}

Therefore, {115} is {91.27\%} of {126}.

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