#### Solution for 139 is what percent of 101:

139:101*100 =

(139*100):101 =

13900:101 = 137.62

Now we have: 139 is what percent of 101 = 137.62

Question: 139 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

Step 4: In the same vein, {x\%}={139}.

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

{100\%}={101}(1).

{x\%}={139}(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{101}{139}

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

\frac{x\%}{100\%}=\frac{139}{101}

\Rightarrow{x} = {137.62\%}

Therefore, {139} is {137.62\%} of {101}.

#### Solution for 101 is what percent of 139:

101:139*100 =

(101*100):139 =

10100:139 = 72.66

Now we have: 101 is what percent of 139 = 72.66

Question: 101 is what percent of 139?

Percentage solution with steps:

Step 1: We make the assumption that 139 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\%}={139}.

Step 4: In the same vein, {x\%}={101}.

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

{100\%}={139}(1).

{x\%}={101}(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{139}{101}

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

\frac{x\%}{100\%}=\frac{101}{139}

\Rightarrow{x} = {72.66\%}

Therefore, {101} is {72.66\%} of {139}.

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