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Solution for 40 is what percent of 270:

40:270*100 =

(40*100):270 =

4000:270 = 14.81

Now we have: 40 is what percent of 270 = 14.81

Question: 40 is what percent of 270?

Percentage solution with steps:

Step 1: We make the assumption that 270 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\%}={270}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={270}(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{270}{40}

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

\frac{x\%}{100\%}=\frac{40}{270}

\Rightarrow{x} = {14.81\%}

Therefore, {40} is {14.81\%} of {270}.

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Solution for 270 is what percent of 40:

270:40*100 =

(270*100):40 =

27000:40 = 675

Now we have: 270 is what percent of 40 = 675

Question: 270 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\%}={270}.

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

{100\%}={40}(1).

{x\%}={270}(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}{270}

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

\frac{x\%}{100\%}=\frac{270}{40}

\Rightarrow{x} = {675\%}

Therefore, {270} is {675\%} of {40}.