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Solution for 400 is what percent of 685:

400:685*100 =

(400*100):685 =

40000:685 = 58.39

Now we have: 400 is what percent of 685 = 58.39

Question: 400 is what percent of 685?

Percentage solution with steps:

Step 1: We make the assumption that 685 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\%}={685}.

Step 4: In the same vein, {x\%}={400}.

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

{100\%}={685}(1).

{x\%}={400}(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{685}{400}

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

\frac{x\%}{100\%}=\frac{400}{685}

\Rightarrow{x} = {58.39\%}

Therefore, {400} is {58.39\%} of {685}.

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Solution for 685 is what percent of 400:

685:400*100 =

(685*100):400 =

68500:400 = 171.25

Now we have: 685 is what percent of 400 = 171.25

Question: 685 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={400}.

Step 4: In the same vein, {x\%}={685}.

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

{100\%}={400}(1).

{x\%}={685}(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{400}{685}

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

\frac{x\%}{100\%}=\frac{685}{400}

\Rightarrow{x} = {171.25\%}

Therefore, {685} is {171.25\%} of {400}.