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Solution for 357.5 is what percent of 40:

357.5:40*100 =

(357.5*100):40 =

35750:40 = 893.75

Now we have: 357.5 is what percent of 40 = 893.75

Question: 357.5 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\%}={357.5}.

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

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

{x\%}={357.5}(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}{357.5}

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

\frac{x\%}{100\%}=\frac{357.5}{40}

\Rightarrow{x} = {893.75\%}

Therefore, {357.5} is {893.75\%} of {40}.

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• 357.5 is what percent of 100 = 357.5

Solution for 40 is what percent of 357.5:

40:357.5*100 =

(40*100):357.5 =

4000:357.5 = 11.188811188811

Now we have: 40 is what percent of 357.5 = 11.188811188811

Question: 40 is what percent of 357.5?

Percentage solution with steps:

Step 1: We make the assumption that 357.5 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\%}={357.5}.

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

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

{100\%}={357.5}(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{357.5}{40}

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

\frac{x\%}{100\%}=\frac{40}{357.5}

\Rightarrow{x} = {11.188811188811\%}

Therefore, {40} is {11.188811188811\%} of {357.5}.