#### Solution for 140 is what percent of 320:

140:320*100 =

(140*100):320 =

14000:320 = 43.75

Now we have: 140 is what percent of 320 = 43.75

Question: 140 is what percent of 320?

Percentage solution with steps:

Step 1: We make the assumption that 320 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\%}={320}.

Step 4: In the same vein, {x\%}={140}.

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

{100\%}={320}(1).

{x\%}={140}(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{320}{140}

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

\frac{x\%}{100\%}=\frac{140}{320}

\Rightarrow{x} = {43.75\%}

Therefore, {140} is {43.75\%} of {320}.

#### Solution for 320 is what percent of 140:

320:140*100 =

(320*100):140 =

32000:140 = 228.57

Now we have: 320 is what percent of 140 = 228.57

Question: 320 is what percent of 140?

Percentage solution with steps:

Step 1: We make the assumption that 140 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\%}={140}.

Step 4: In the same vein, {x\%}={320}.

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

{100\%}={140}(1).

{x\%}={320}(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{140}{320}

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

\frac{x\%}{100\%}=\frac{320}{140}

\Rightarrow{x} = {228.57\%}

Therefore, {320} is {228.57\%} of {140}.

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