#### Solution for 245 is what percent of 400:

245:400*100 =

(245*100):400 =

24500:400 = 61.25

Now we have: 245 is what percent of 400 = 61.25

Question: 245 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\%}={245}.

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

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

{x\%}={245}(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}{245}

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

\frac{x\%}{100\%}=\frac{245}{400}

\Rightarrow{x} = {61.25\%}

Therefore, {245} is {61.25\%} of {400}.

#### Solution for 400 is what percent of 245:

400:245*100 =

(400*100):245 =

40000:245 = 163.27

Now we have: 400 is what percent of 245 = 163.27

Question: 400 is what percent of 245?

Percentage solution with steps:

Step 1: We make the assumption that 245 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\%}={245}.

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

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

{100\%}={245}(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{245}{400}

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

\frac{x\%}{100\%}=\frac{400}{245}

\Rightarrow{x} = {163.27\%}

Therefore, {400} is {163.27\%} of {245}.

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