Solution for 400 is what percent of 825:

400:825*100 =

(400*100):825 =

40000:825 = 48.48

Now we have: 400 is what percent of 825 = 48.48

Question: 400 is what percent of 825?

Percentage solution with steps:

Step 1: We make the assumption that 825 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\%}={825}.

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

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

{100\%}={825}(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{825}{400}

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

\frac{x\%}{100\%}=\frac{400}{825}

\Rightarrow{x} = {48.48\%}

Therefore, {400} is {48.48\%} of {825}.

Solution for 825 is what percent of 400:

825:400*100 =

(825*100):400 =

82500:400 = 206.25

Now we have: 825 is what percent of 400 = 206.25

Question: 825 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\%}={825}.

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

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

{x\%}={825}(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}{825}

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

\frac{x\%}{100\%}=\frac{825}{400}

\Rightarrow{x} = {206.25\%}

Therefore, {825} is {206.25\%} of {400}.