Solution for 35 is what percent of 49:

35: 49*100 =

(35*100): 49 =

3500: 49 = 71.43

Now we have: 35 is what percent of 49 = 71.43

Question: 35 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\%}={35}.

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

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

{x\%}={35}(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}{35}

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

\frac{x\%}{100\%}=\frac{35}{ 49}

\Rightarrow{x} = {71.43\%}

Therefore, {35} is {71.43\%} of { 49}.

Solution for 49 is what percent of 35:

49:35*100 =

( 49*100):35 =

4900:35 = 140

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

Question: 49 is what percent of 35?

Percentage solution with steps:

Step 1: We make the assumption that 35 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\%}={35}.

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

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

{100\%}={35}(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{35}{ 49}

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

\frac{x\%}{100\%}=\frac{ 49}{35}

\Rightarrow{x} = {140\%}

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