#### Solution for 448 is what percent of 700:

448:700*100 =

(448*100):700 =

44800:700 = 64

Now we have: 448 is what percent of 700 = 64

Question: 448 is what percent of 700?

Percentage solution with steps:

Step 1: We make the assumption that 700 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\%}={700}.

Step 4: In the same vein, {x\%}={448}.

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

{100\%}={700}(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{700}{448}

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

\frac{x\%}{100\%}=\frac{448}{700}

\Rightarrow{x} = {64\%}

Therefore, {448} is {64\%} of {700}.

#### Solution for 700 is what percent of 448:

700:448*100 =

(700*100):448 =

70000:448 = 156.25

Now we have: 700 is what percent of 448 = 156.25

Question: 700 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\%}={700}.

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

{100\%}={448}(1).

{x\%}={700}(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}{700}

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

\frac{x\%}{100\%}=\frac{700}{448}

\Rightarrow{x} = {156.25\%}

Therefore, {700} is {156.25\%} of {448}.

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