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Solution for 137.5 is what percent of 159:

137.5: 159*100 =

(137.5*100): 159 =

13750: 159 = 86.477987421384

Now we have: 137.5 is what percent of 159 = 86.477987421384

Question: 137.5 is what percent of 159?

Percentage solution with steps:

Step 1: We make the assumption that 159 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\%}={ 159}.

Step 4: In the same vein, {x\%}={137.5}.

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

{100\%}={ 159}(1).

{x\%}={137.5}(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{ 159}{137.5}

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

\frac{x\%}{100\%}=\frac{137.5}{ 159}

\Rightarrow{x} = {86.477987421384\%}

Therefore, {137.5} is {86.477987421384\%} of { 159}.

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• 137.5 is what percent of 100 = 137.5

Solution for 159 is what percent of 137.5:

159:137.5*100 =

( 159*100):137.5 =

15900:137.5 = 115.63636363636

Now we have: 159 is what percent of 137.5 = 115.63636363636

Question: 159 is what percent of 137.5?

Percentage solution with steps:

Step 1: We make the assumption that 137.5 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\%}={137.5}.

Step 4: In the same vein, {x\%}={ 159}.

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

{100\%}={137.5}(1).

{x\%}={ 159}(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{137.5}{ 159}

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

\frac{x\%}{100\%}=\frac{ 159}{137.5}

\Rightarrow{x} = {115.63636363636\%}

Therefore, { 159} is {115.63636363636\%} of {137.5}.