#### Solution for 109.8 is what percent of 122:

109.8:122*100 =

(109.8*100):122 =

10980:122 = 90

Now we have: 109.8 is what percent of 122 = 90

Question: 109.8 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\%}={109.8}.

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

{100\%}={122}(1).

{x\%}={109.8}(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}{109.8}

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

\frac{x\%}{100\%}=\frac{109.8}{122}

\Rightarrow{x} = {90\%}

Therefore, {109.8} is {90\%} of {122}.

#### Solution for 122 is what percent of 109.8:

122:109.8*100 =

(122*100):109.8 =

12200:109.8 = 111.11111111111

Now we have: 122 is what percent of 109.8 = 111.11111111111

Question: 122 is what percent of 109.8?

Percentage solution with steps:

Step 1: We make the assumption that 109.8 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\%}={109.8}.

Step 4: In the same vein, {x\%}={122}.

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

{100\%}={109.8}(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{109.8}{122}

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

\frac{x\%}{100\%}=\frac{122}{109.8}

\Rightarrow{x} = {111.11111111111\%}

Therefore, {122} is {111.11111111111\%} of {109.8}.

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