#### Solution for 527.5 is what percent of 700:

527.5:700*100 =

(527.5*100):700 =

52750:700 = 75.357142857143

Now we have: 527.5 is what percent of 700 = 75.357142857143

Question: 527.5 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\%}={527.5}.

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

{100\%}={700}(1).

{x\%}={527.5}(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}{527.5}

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

\frac{x\%}{100\%}=\frac{527.5}{700}

\Rightarrow{x} = {75.357142857143\%}

Therefore, {527.5} is {75.357142857143\%} of {700}.

#### Solution for 700 is what percent of 527.5:

700:527.5*100 =

(700*100):527.5 =

70000:527.5 = 132.70142180095

Now we have: 700 is what percent of 527.5 = 132.70142180095

Question: 700 is what percent of 527.5?

Percentage solution with steps:

Step 1: We make the assumption that 527.5 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\%}={527.5}.

Step 4: In the same vein, {x\%}={700}.

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

{100\%}={527.5}(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{527.5}{700}

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

\frac{x\%}{100\%}=\frac{700}{527.5}

\Rightarrow{x} = {132.70142180095\%}

Therefore, {700} is {132.70142180095\%} of {527.5}.

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