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Solution for 350 is what percent of 40:

350:40*100 =

(350*100):40 =

35000:40 = 875

Now we have: 350 is what percent of 40 = 875

Question: 350 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\%}={350}.

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

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

{x\%}={350}(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}{350}

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

\frac{x\%}{100\%}=\frac{350}{40}

\Rightarrow{x} = {875\%}

Therefore, {350} is {875\%} of {40}.

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Solution for 40 is what percent of 350:

40:350*100 =

(40*100):350 =

4000:350 = 11.43

Now we have: 40 is what percent of 350 = 11.43

Question: 40 is what percent of 350?

Percentage solution with steps:

Step 1: We make the assumption that 350 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\%}={350}.

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

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

{100\%}={350}(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{350}{40}

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

\frac{x\%}{100\%}=\frac{40}{350}

\Rightarrow{x} = {11.43\%}

Therefore, {40} is {11.43\%} of {350}.