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Solution for 25.375 is what percent of 40:

25.375:40*100 =

(25.375*100):40 =

2537.5:40 = 63.4375

Now we have: 25.375 is what percent of 40 = 63.4375

Question: 25.375 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\%}={25.375}.

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

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

{x\%}={25.375}(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}{25.375}

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

\frac{x\%}{100\%}=\frac{25.375}{40}

\Rightarrow{x} = {63.4375\%}

Therefore, {25.375} is {63.4375\%} of {40}.

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Solution for 40 is what percent of 25.375:

40:25.375*100 =

(40*100):25.375 =

4000:25.375 = 157.6354679803

Now we have: 40 is what percent of 25.375 = 157.6354679803

Question: 40 is what percent of 25.375?

Percentage solution with steps:

Step 1: We make the assumption that 25.375 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\%}={25.375}.

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

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

{100\%}={25.375}(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{25.375}{40}

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

\frac{x\%}{100\%}=\frac{40}{25.375}

\Rightarrow{x} = {157.6354679803\%}

Therefore, {40} is {157.6354679803\%} of {25.375}.