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Solution for 100 is what percent of 40:

100:40*100 =

(100*100):40 =

10000:40 = 250

Now we have: 100 is what percent of 40 = 250

Question: 100 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\%}={100}.

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

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

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {250\%}

Therefore, {100} is {250\%} of {40}.

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Solution for 40 is what percent of 100:

40:100*100 =

(40*100):100 =

4000:100 = 40

Now we have: 40 is what percent of 100 = 40

Question: 40 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

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

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

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

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

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

\Rightarrow{x} = {40\%}

Therefore, {40} is {40\%} of {100}.