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Solution for 40.2 is what percent of 27:

40.2:27*100 =

(40.2*100):27 =

4020:27 = 148.88888888889

Now we have: 40.2 is what percent of 27 = 148.88888888889

Question: 40.2 is what percent of 27?

Percentage solution with steps:

Step 1: We make the assumption that 27 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\%}={27}.

Step 4: In the same vein, {x\%}={40.2}.

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

{100\%}={27}(1).

{x\%}={40.2}(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{27}{40.2}

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

\frac{x\%}{100\%}=\frac{40.2}{27}

\Rightarrow{x} = {148.88888888889\%}

Therefore, {40.2} is {148.88888888889\%} of {27}.

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Solution for 27 is what percent of 40.2:

27:40.2*100 =

(27*100):40.2 =

2700:40.2 = 67.164179104478

Now we have: 27 is what percent of 40.2 = 67.164179104478

Question: 27 is what percent of 40.2?

Percentage solution with steps:

Step 1: We make the assumption that 40.2 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\%}={40.2}.

Step 4: In the same vein, {x\%}={27}.

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

{100\%}={40.2}(1).

{x\%}={27}(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{40.2}{27}

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

\frac{x\%}{100\%}=\frac{27}{40.2}

\Rightarrow{x} = {67.164179104478\%}

Therefore, {27} is {67.164179104478\%} of {40.2}.