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Solution for 35.0 is what percent of 52:

35.0:52*100 =

(35.0*100):52 =

3500:52 = 67.307692307692

Now we have: 35.0 is what percent of 52 = 67.307692307692

Question: 35.0 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

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

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

{100\%}={52}(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{52}{35.0}

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

\frac{x\%}{100\%}=\frac{35.0}{52}

\Rightarrow{x} = {67.307692307692\%}

Therefore, {35.0} is {67.307692307692\%} of {52}.

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Solution for 52 is what percent of 35.0:

52:35.0*100 =

(52*100):35.0 =

5200:35.0 = 148.57142857143

Now we have: 52 is what percent of 35.0 = 148.57142857143

Question: 52 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\%}={52}.

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

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

{x\%}={52}(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}{52}

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

\frac{x\%}{100\%}=\frac{52}{35.0}

\Rightarrow{x} = {148.57142857143\%}

Therefore, {52} is {148.57142857143\%} of {35.0}.