Solution for 448 is what percent of 400:

448:400*100 =

(448*100):400 =

44800:400 = 112

Now we have: 448 is what percent of 400 = 112

Question: 448 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\%}={448}.

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

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

{x\%}={448}(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}{448}

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

\frac{x\%}{100\%}=\frac{448}{400}

\Rightarrow{x} = {112\%}

Therefore, {448} is {112\%} of {400}.

Solution for 400 is what percent of 448:

400:448*100 =

(400*100):448 =

40000:448 = 89.29

Now we have: 400 is what percent of 448 = 89.29

Question: 400 is what percent of 448?

Percentage solution with steps:

Step 1: We make the assumption that 448 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\%}={448}.

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

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

{100\%}={448}(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{448}{400}

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

\frac{x\%}{100\%}=\frac{400}{448}

\Rightarrow{x} = {89.29\%}

Therefore, {400} is {89.29\%} of {448}.