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Solution for 35 is what percent of 101:

35:101*100 =

(35*100):101 =

3500:101 = 34.65

Now we have: 35 is what percent of 101 = 34.65

Question: 35 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\%}={35}.

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

{100\%}={101}(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{101}{35}

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

\frac{x\%}{100\%}=\frac{35}{101}

\Rightarrow{x} = {34.65\%}

Therefore, {35} is {34.65\%} of {101}.

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Solution for 101 is what percent of 35:

101:35*100 =

(101*100):35 =

10100:35 = 288.57

Now we have: 101 is what percent of 35 = 288.57

Question: 101 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\%}={101}.

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

{100\%}={35}(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{35}{101}

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

\frac{x\%}{100\%}=\frac{101}{35}

\Rightarrow{x} = {288.57\%}

Therefore, {101} is {288.57\%} of {35}.