#### Solution for 43.5 is what percent of 174:

43.5:174*100 =

(43.5*100):174 =

4350:174 = 25

Now we have: 43.5 is what percent of 174 = 25

Question: 43.5 is what percent of 174?

Percentage solution with steps:

Step 1: We make the assumption that 174 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\%}={174}.

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

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

{100\%}={174}(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{174}{43.5}

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

\frac{x\%}{100\%}=\frac{43.5}{174}

\Rightarrow{x} = {25\%}

Therefore, {43.5} is {25\%} of {174}.

#### Solution for 174 is what percent of 43.5:

174:43.5*100 =

(174*100):43.5 =

17400:43.5 = 400

Now we have: 174 is what percent of 43.5 = 400

Question: 174 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\%}={174}.

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

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

{x\%}={174}(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}{174}

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

\frac{x\%}{100\%}=\frac{174}{43.5}

\Rightarrow{x} = {400\%}

Therefore, {174} is {400\%} of {43.5}.

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