#### Solution for 24.2 is what percent of 109:

24.2:109*100 =

(24.2*100):109 =

2420:109 = 22.201834862385

Now we have: 24.2 is what percent of 109 = 22.201834862385

Question: 24.2 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\%}={24.2}.

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

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

{x\%}={24.2}(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}{24.2}

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

\frac{x\%}{100\%}=\frac{24.2}{109}

\Rightarrow{x} = {22.201834862385\%}

Therefore, {24.2} is {22.201834862385\%} of {109}.

#### Solution for 109 is what percent of 24.2:

109:24.2*100 =

(109*100):24.2 =

10900:24.2 = 450.4132231405

Now we have: 109 is what percent of 24.2 = 450.4132231405

Question: 109 is what percent of 24.2?

Percentage solution with steps:

Step 1: We make the assumption that 24.2 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\%}={24.2}.

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

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

{100\%}={24.2}(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{24.2}{109}

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

\frac{x\%}{100\%}=\frac{109}{24.2}

\Rightarrow{x} = {450.4132231405\%}

Therefore, {109} is {450.4132231405\%} of {24.2}.

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