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Solution for 824 is what percent of 40:

824:40*100 =

(824*100):40 =

82400:40 = 2060

Now we have: 824 is what percent of 40 = 2060

Question: 824 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\%}={824}.

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

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

{x\%}={824}(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}{824}

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

\frac{x\%}{100\%}=\frac{824}{40}

\Rightarrow{x} = {2060\%}

Therefore, {824} is {2060\%} of {40}.

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• 824 is what percent of 100 = 824

Solution for 40 is what percent of 824:

40:824*100 =

(40*100):824 =

4000:824 = 4.85

Now we have: 40 is what percent of 824 = 4.85

Question: 40 is what percent of 824?

Percentage solution with steps:

Step 1: We make the assumption that 824 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\%}={824}.

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

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

{100\%}={824}(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{824}{40}

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

\frac{x\%}{100\%}=\frac{40}{824}

\Rightarrow{x} = {4.85\%}

Therefore, {40} is {4.85\%} of {824}.