#### Solution for 26 is what percent of 122:

26:122*100 =

(26*100):122 =

2600:122 = 21.31

Now we have: 26 is what percent of 122 = 21.31

Question: 26 is what percent of 122?

Percentage solution with steps:

Step 1: We make the assumption that 122 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\%}={122}.

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

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

{100\%}={122}(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{122}{26}

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

\frac{x\%}{100\%}=\frac{26}{122}

\Rightarrow{x} = {21.31\%}

Therefore, {26} is {21.31\%} of {122}.

#### Solution for 122 is what percent of 26:

122:26*100 =

(122*100):26 =

12200:26 = 469.23

Now we have: 122 is what percent of 26 = 469.23

Question: 122 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\%}={122}.

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

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

{x\%}={122}(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}{122}

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

\frac{x\%}{100\%}=\frac{122}{26}

\Rightarrow{x} = {469.23\%}

Therefore, {122} is {469.23\%} of {26}.

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