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Solution for 109 is what percent of 26:

109:26*100 =

(109*100):26 =

10900:26 = 419.23

Now we have: 109 is what percent of 26 = 419.23

Question: 109 is what percent of 26?

Percentage solution with steps:

Step 1: We make the assumption that 26 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\%}={26}.

Step 4: In the same vein, {x\%}={109}.

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

{100\%}={26}(1).

{x\%}={109}(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{26}{109}

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

\frac{x\%}{100\%}=\frac{109}{26}

\Rightarrow{x} = {419.23\%}

Therefore, {109} is {419.23\%} of {26}.

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Solution for 26 is what percent of 109:

26:109*100 =

(26*100):109 =

2600:109 = 23.85

Now we have: 26 is what percent of 109 = 23.85

Question: 26 is what percent of 109?

Percentage solution with steps:

Step 1: We make the assumption that 109 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\%}={109}.

Step 4: In the same vein, {x\%}={26}.

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

{100\%}={109}(1).

{x\%}={26}(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{109}{26}

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

\frac{x\%}{100\%}=\frac{26}{109}

\Rightarrow{x} = {23.85\%}

Therefore, {26} is {23.85\%} of {109}.