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Solution for 424 is what percent of 40:

424:40*100 =

(424*100):40 =

42400:40 = 1060

Now we have: 424 is what percent of 40 = 1060

Question: 424 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\%}={424}.

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

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

{x\%}={424}(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}{424}

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

\frac{x\%}{100\%}=\frac{424}{40}

\Rightarrow{x} = {1060\%}

Therefore, {424} is {1060\%} of {40}.

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Solution for 40 is what percent of 424:

40:424*100 =

(40*100):424 =

4000:424 = 9.43

Now we have: 40 is what percent of 424 = 9.43

Question: 40 is what percent of 424?

Percentage solution with steps:

Step 1: We make the assumption that 424 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\%}={424}.

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

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

{100\%}={424}(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{424}{40}

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

\frac{x\%}{100\%}=\frac{40}{424}

\Rightarrow{x} = {9.43\%}

Therefore, {40} is {9.43\%} of {424}.