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Solution for 68 is what percent of 40:

68:40*100 =

(68*100):40 =

6800:40 = 170

Now we have: 68 is what percent of 40 = 170

Question: 68 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\%}={68}.

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

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

{x\%}={68}(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}{68}

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

\frac{x\%}{100\%}=\frac{68}{40}

\Rightarrow{x} = {170\%}

Therefore, {68} is {170\%} of {40}.

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Solution for 40 is what percent of 68:

40:68*100 =

(40*100):68 =

4000:68 = 58.82

Now we have: 40 is what percent of 68 = 58.82

Question: 40 is what percent of 68?

Percentage solution with steps:

Step 1: We make the assumption that 68 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\%}={68}.

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

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

{100\%}={68}(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{68}{40}

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

\frac{x\%}{100\%}=\frac{40}{68}

\Rightarrow{x} = {58.82\%}

Therefore, {40} is {58.82\%} of {68}.