#### Solution for 3 is what percent of 175:

3:175*100 =

(3*100):175 =

300:175 = 1.71

Now we have: 3 is what percent of 175 = 1.71

Question: 3 is what percent of 175?

Percentage solution with steps:

Step 1: We make the assumption that 175 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}.

Step 4: In the same vein, {x\%}={3}.

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

{100\%}={175}(1).

{x\%}={3}(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}{3}

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

\frac{x\%}{100\%}=\frac{3}{175}

\Rightarrow{x} = {1.71\%}

Therefore, {3} is {1.71\%} of {175}.

#### Solution for 175 is what percent of 3:

175:3*100 =

(175*100):3 =

17500:3 = 5833.33

Now we have: 175 is what percent of 3 = 5833.33

Question: 175 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={3}.

Step 4: In the same vein, {x\%}={175}.

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

{100\%}={3}(1).

{x\%}={175}(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{3}{175}

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

\frac{x\%}{100\%}=\frac{175}{3}

\Rightarrow{x} = {5833.33\%}

Therefore, {175} is {5833.33\%} of {3}.

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