#### Solution for 139.5 is what percent of 189:

139.5:189*100 =

(139.5*100):189 =

13950:189 = 73.809523809524

Now we have: 139.5 is what percent of 189 = 73.809523809524

Question: 139.5 is what percent of 189?

Percentage solution with steps:

Step 1: We make the assumption that 189 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\%}={189}.

Step 4: In the same vein, {x\%}={139.5}.

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

{100\%}={189}(1).

{x\%}={139.5}(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{189}{139.5}

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

\frac{x\%}{100\%}=\frac{139.5}{189}

\Rightarrow{x} = {73.809523809524\%}

Therefore, {139.5} is {73.809523809524\%} of {189}.

#### Solution for 189 is what percent of 139.5:

189:139.5*100 =

(189*100):139.5 =

18900:139.5 = 135.48387096774

Now we have: 189 is what percent of 139.5 = 135.48387096774

Question: 189 is what percent of 139.5?

Percentage solution with steps:

Step 1: We make the assumption that 139.5 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\%}={139.5}.

Step 4: In the same vein, {x\%}={189}.

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

{100\%}={139.5}(1).

{x\%}={189}(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{139.5}{189}

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

\frac{x\%}{100\%}=\frac{189}{139.5}

\Rightarrow{x} = {135.48387096774\%}

Therefore, {189} is {135.48387096774\%} of {139.5}.

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