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Solution for 49 is what percent of 140:

49: 140*100 =

(49*100): 140 =

4900: 140 = 35

Now we have: 49 is what percent of 140 = 35

Question: 49 is what percent of 140?

Percentage solution with steps:

Step 1: We make the assumption that 140 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\%}={ 140}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={ 140}(1).

{x\%}={49}(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{ 140}{49}

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

\frac{x\%}{100\%}=\frac{49}{ 140}

\Rightarrow{x} = {35\%}

Therefore, {49} is {35\%} of { 140}.

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Solution for 140 is what percent of 49:

140:49*100 =

( 140*100):49 =

14000:49 = 285.71

Now we have: 140 is what percent of 49 = 285.71

Question: 140 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={ 140}.

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

{100\%}={49}(1).

{x\%}={ 140}(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{49}{ 140}

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

\frac{x\%}{100\%}=\frac{ 140}{49}

\Rightarrow{x} = {285.71\%}

Therefore, { 140} is {285.71\%} of {49}.