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Solution for 318 is what percent of 40:

318:40*100 =

(318*100):40 =

31800:40 = 795

Now we have: 318 is what percent of 40 = 795

Question: 318 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\%}={318}.

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

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

{x\%}={318}(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}{318}

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

\frac{x\%}{100\%}=\frac{318}{40}

\Rightarrow{x} = {795\%}

Therefore, {318} is {795\%} of {40}.

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Solution for 40 is what percent of 318:

40:318*100 =

(40*100):318 =

4000:318 = 12.58

Now we have: 40 is what percent of 318 = 12.58

Question: 40 is what percent of 318?

Percentage solution with steps:

Step 1: We make the assumption that 318 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\%}={318}.

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

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

{100\%}={318}(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{318}{40}

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

\frac{x\%}{100\%}=\frac{40}{318}

\Rightarrow{x} = {12.58\%}

Therefore, {40} is {12.58\%} of {318}.