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Solution for 35.0 is what percent of 13:

35.0:13*100 =

(35.0*100):13 =

3500:13 = 269.23076923077

Now we have: 35.0 is what percent of 13 = 269.23076923077

Question: 35.0 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

Step 4: In the same vein, {x\%}={35.0}.

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

{100\%}={13}(1).

{x\%}={35.0}(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{13}{35.0}

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

\frac{x\%}{100\%}=\frac{35.0}{13}

\Rightarrow{x} = {269.23076923077\%}

Therefore, {35.0} is {269.23076923077\%} of {13}.

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• 35.0 is what percent of 100 = 35

Solution for 13 is what percent of 35.0:

13:35.0*100 =

(13*100):35.0 =

1300:35.0 = 37.142857142857

Now we have: 13 is what percent of 35.0 = 37.142857142857

Question: 13 is what percent of 35.0?

Percentage solution with steps:

Step 1: We make the assumption that 35.0 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\%}={35.0}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={35.0}(1).

{x\%}={13}(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{35.0}{13}

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

\frac{x\%}{100\%}=\frac{13}{35.0}

\Rightarrow{x} = {37.142857142857\%}

Therefore, {13} is {37.142857142857\%} of {35.0}.