#### Solution for 109 is what percent of 148:

109:148*100 =

(109*100):148 =

10900:148 = 73.65

Now we have: 109 is what percent of 148 = 73.65

Question: 109 is what percent of 148?

Percentage solution with steps:

Step 1: We make the assumption that 148 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\%}={148}.

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

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

{100\%}={148}(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{148}{109}

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

\frac{x\%}{100\%}=\frac{109}{148}

\Rightarrow{x} = {73.65\%}

Therefore, {109} is {73.65\%} of {148}.

#### Solution for 148 is what percent of 109:

148:109*100 =

(148*100):109 =

14800:109 = 135.78

Now we have: 148 is what percent of 109 = 135.78

Question: 148 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\%}={148}.

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

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

{x\%}={148}(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}{148}

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

\frac{x\%}{100\%}=\frac{148}{109}

\Rightarrow{x} = {135.78\%}

Therefore, {148} is {135.78\%} of {109}.

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