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Solution for 40 is what percent of 1625:

40:1625*100 =

(40*100):1625 =

4000:1625 = 2.46

Now we have: 40 is what percent of 1625 = 2.46

Question: 40 is what percent of 1625?

Percentage solution with steps:

Step 1: We make the assumption that 1625 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\%}={1625}.

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

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

{100\%}={1625}(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{1625}{40}

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

\frac{x\%}{100\%}=\frac{40}{1625}

\Rightarrow{x} = {2.46\%}

Therefore, {40} is {2.46\%} of {1625}.

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Solution for 1625 is what percent of 40:

1625:40*100 =

(1625*100):40 =

162500:40 = 4062.5

Now we have: 1625 is what percent of 40 = 4062.5

Question: 1625 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\%}={1625}.

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

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

{x\%}={1625}(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}{1625}

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

\frac{x\%}{100\%}=\frac{1625}{40}

\Rightarrow{x} = {4062.5\%}

Therefore, {1625} is {4062.5\%} of {40}.