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Solution for 40 is what percent of 8460:

40:8460*100 =

(40*100):8460 =

4000:8460 = 0.47

Now we have: 40 is what percent of 8460 = 0.47

Question: 40 is what percent of 8460?

Percentage solution with steps:

Step 1: We make the assumption that 8460 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\%}={8460}.

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

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

{100\%}={8460}(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{8460}{40}

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

\frac{x\%}{100\%}=\frac{40}{8460}

\Rightarrow{x} = {0.47\%}

Therefore, {40} is {0.47\%} of {8460}.

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Solution for 8460 is what percent of 40:

8460:40*100 =

(8460*100):40 =

846000:40 = 21150

Now we have: 8460 is what percent of 40 = 21150

Question: 8460 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\%}={8460}.

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

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

{x\%}={8460}(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}{8460}

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

\frac{x\%}{100\%}=\frac{8460}{40}

\Rightarrow{x} = {21150\%}

Therefore, {8460} is {21150\%} of {40}.