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Solution for 140 is what percent of 40:

140:40*100 =

(140*100):40 =

14000:40 = 350

Now we have: 140 is what percent of 40 = 350

Question: 140 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

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

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

{100\%}={40}(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{40}{140}

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

\frac{x\%}{100\%}=\frac{140}{40}

\Rightarrow{x} = {350\%}

Therefore, {140} is {350\%} of {40}.

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Solution for 40 is what percent of 140:

40:140*100 =

(40*100):140 =

4000:140 = 28.57

Now we have: 40 is what percent of 140 = 28.57

Question: 40 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\%}={40}.

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

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

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{140}

\Rightarrow{x} = {28.57\%}

Therefore, {40} is {28.57\%} of {140}.