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Solution for 175.00 is what percent of 35:

175.00:35*100 =

(175.00*100):35 =

17500:35 = 500

Now we have: 175.00 is what percent of 35 = 500

Question: 175.00 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\%}={175.00}.

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

{100\%}={35}(1).

{x\%}={175.00}(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}{175.00}

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

\frac{x\%}{100\%}=\frac{175.00}{35}

\Rightarrow{x} = {500\%}

Therefore, {175.00} is {500\%} of {35}.

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Solution for 35 is what percent of 175.00:

35:175.00*100 =

(35*100):175.00 =

3500:175.00 = 20

Now we have: 35 is what percent of 175.00 = 20

Question: 35 is what percent of 175.00?

Percentage solution with steps:

Step 1: We make the assumption that 175.00 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\%}={175.00}.

Step 4: In the same vein, {x\%}={35}.

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

{100\%}={175.00}(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{175.00}{35}

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

\frac{x\%}{100\%}=\frac{35}{175.00}

\Rightarrow{x} = {20\%}

Therefore, {35} is {20\%} of {175.00}.