#### Solution for 6.25 is what percent of 56.25:

6.25:56.25*100 =

(6.25*100):56.25 =

625:56.25 = 11.111111111111

Now we have: 6.25 is what percent of 56.25 = 11.111111111111

Question: 6.25 is what percent of 56.25?

Percentage solution with steps:

Step 1: We make the assumption that 56.25 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\%}={56.25}.

Step 4: In the same vein, {x\%}={6.25}.

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

{100\%}={56.25}(1).

{x\%}={6.25}(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{56.25}{6.25}

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

\frac{x\%}{100\%}=\frac{6.25}{56.25}

\Rightarrow{x} = {11.111111111111\%}

Therefore, {6.25} is {11.111111111111\%} of {56.25}.

#### Solution for 56.25 is what percent of 6.25:

56.25:6.25*100 =

(56.25*100):6.25 =

5625:6.25 = 900

Now we have: 56.25 is what percent of 6.25 = 900

Question: 56.25 is what percent of 6.25?

Percentage solution with steps:

Step 1: We make the assumption that 6.25 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\%}={6.25}.

Step 4: In the same vein, {x\%}={56.25}.

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

{100\%}={6.25}(1).

{x\%}={56.25}(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{6.25}{56.25}

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

\frac{x\%}{100\%}=\frac{56.25}{6.25}

\Rightarrow{x} = {900\%}

Therefore, {56.25} is {900\%} of {6.25}.

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