#### Solution for 43.5 is what percent of 120:

43.5:120*100 =

(43.5*100):120 =

4350:120 = 36.25

Now we have: 43.5 is what percent of 120 = 36.25

Question: 43.5 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

Step 4: In the same vein, {x\%}={43.5}.

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

{100\%}={120}(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{120}{43.5}

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

\frac{x\%}{100\%}=\frac{43.5}{120}

\Rightarrow{x} = {36.25\%}

Therefore, {43.5} is {36.25\%} of {120}.

#### Solution for 120 is what percent of 43.5:

120:43.5*100 =

(120*100):43.5 =

12000:43.5 = 275.86206896552

Now we have: 120 is what percent of 43.5 = 275.86206896552

Question: 120 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\%}={120}.

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

{100\%}={43.5}(1).

{x\%}={120}(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}{120}

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

\frac{x\%}{100\%}=\frac{120}{43.5}

\Rightarrow{x} = {275.86206896552\%}

Therefore, {120} is {275.86206896552\%} of {43.5}.

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