#### Solution for 5.25 is what percent of 75.00:

5.25:75.00*100 =

(5.25*100):75.00 =

525:75.00 = 7

Now we have: 5.25 is what percent of 75.00 = 7

Question: 5.25 is what percent of 75.00?

Percentage solution with steps:

Step 1: We make the assumption that 75.00 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\%}={75.00}.

Step 4: In the same vein, {x\%}={5.25}.

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

{100\%}={75.00}(1).

{x\%}={5.25}(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{75.00}{5.25}

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

\frac{x\%}{100\%}=\frac{5.25}{75.00}

\Rightarrow{x} = {7\%}

Therefore, {5.25} is {7\%} of {75.00}.

#### Solution for 75.00 is what percent of 5.25:

75.00:5.25*100 =

(75.00*100):5.25 =

7500:5.25 = 1428.5714285714

Now we have: 75.00 is what percent of 5.25 = 1428.5714285714

Question: 75.00 is what percent of 5.25?

Percentage solution with steps:

Step 1: We make the assumption that 5.25 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\%}={5.25}.

Step 4: In the same vein, {x\%}={75.00}.

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

{100\%}={5.25}(1).

{x\%}={75.00}(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{5.25}{75.00}

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

\frac{x\%}{100\%}=\frac{75.00}{5.25}

\Rightarrow{x} = {1428.5714285714\%}

Therefore, {75.00} is {1428.5714285714\%} of {5.25}.

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