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Solution for 40 is what percent of 1525:

40:1525*100 =

(40*100):1525 =

4000:1525 = 2.62

Now we have: 40 is what percent of 1525 = 2.62

Question: 40 is what percent of 1525?

Percentage solution with steps:

Step 1: We make the assumption that 1525 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\%}={1525}.

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

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

{100\%}={1525}(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{1525}{40}

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

\frac{x\%}{100\%}=\frac{40}{1525}

\Rightarrow{x} = {2.62\%}

Therefore, {40} is {2.62\%} of {1525}.

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Solution for 1525 is what percent of 40:

1525:40*100 =

(1525*100):40 =

152500:40 = 3812.5

Now we have: 1525 is what percent of 40 = 3812.5

Question: 1525 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\%}={1525}.

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

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

{x\%}={1525}(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}{1525}

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

\frac{x\%}{100\%}=\frac{1525}{40}

\Rightarrow{x} = {3812.5\%}

Therefore, {1525} is {3812.5\%} of {40}.