#### Solution for 3 is what percent of 43.5:

3:43.5*100 =

(3*100):43.5 =

300:43.5 = 6.8965517241379

Now we have: 3 is what percent of 43.5 = 6.8965517241379

Question: 3 is what percent of 43.5?

Percentage solution with steps:

Step 1: We make the assumption that 43.5 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\%}={43.5}.

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

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

{100\%}={43.5}(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{43.5}{3}

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

\frac{x\%}{100\%}=\frac{3}{43.5}

\Rightarrow{x} = {6.8965517241379\%}

Therefore, {3} is {6.8965517241379\%} of {43.5}.

#### Solution for 43.5 is what percent of 3:

43.5:3*100 =

(43.5*100):3 =

4350:3 = 1450

Now we have: 43.5 is what percent of 3 = 1450

Question: 43.5 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\%}={43.5}.

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

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

{x\%}={43.5}(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}{43.5}

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

\frac{x\%}{100\%}=\frac{43.5}{3}

\Rightarrow{x} = {1450\%}

Therefore, {43.5} is {1450\%} of {3}.

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