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Solution for 426 is what percent of 40:

426:40*100 =

(426*100):40 =

42600:40 = 1065

Now we have: 426 is what percent of 40 = 1065

Question: 426 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\%}={426}.

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

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

{x\%}={426}(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}{426}

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

\frac{x\%}{100\%}=\frac{426}{40}

\Rightarrow{x} = {1065\%}

Therefore, {426} is {1065\%} of {40}.

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Solution for 40 is what percent of 426:

40:426*100 =

(40*100):426 =

4000:426 = 9.39

Now we have: 40 is what percent of 426 = 9.39

Question: 40 is what percent of 426?

Percentage solution with steps:

Step 1: We make the assumption that 426 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\%}={426}.

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

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

{100\%}={426}(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{426}{40}

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

\frac{x\%}{100\%}=\frac{40}{426}

\Rightarrow{x} = {9.39\%}

Therefore, {40} is {9.39\%} of {426}.