#### Solution for 43 is what percent of 170:

43:170*100 =

(43*100):170 =

4300:170 = 25.29

Now we have: 43 is what percent of 170 = 25.29

Question: 43 is what percent of 170?

Percentage solution with steps:

Step 1: We make the assumption that 170 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\%}={170}.

Step 4: In the same vein, {x\%}={43}.

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

{100\%}={170}(1).

{x\%}={43}(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{170}{43}

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

\frac{x\%}{100\%}=\frac{43}{170}

\Rightarrow{x} = {25.29\%}

Therefore, {43} is {25.29\%} of {170}.

#### Solution for 170 is what percent of 43:

170:43*100 =

(170*100):43 =

17000:43 = 395.35

Now we have: 170 is what percent of 43 = 395.35

Question: 170 is what percent of 43?

Percentage solution with steps:

Step 1: We make the assumption that 43 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}.

Step 4: In the same vein, {x\%}={170}.

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

{100\%}={43}(1).

{x\%}={170}(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}{170}

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

\frac{x\%}{100\%}=\frac{170}{43}

\Rightarrow{x} = {395.35\%}

Therefore, {170} is {395.35\%} of {43}.

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