#### Solution for 2.55 is what percent of 8.53:

2.55:8.53*100 =

(2.55*100):8.53 =

255:8.53 = 29.89449003517

Now we have: 2.55 is what percent of 8.53 = 29.89449003517

Question: 2.55 is what percent of 8.53?

Percentage solution with steps:

Step 1: We make the assumption that 8.53 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\%}={8.53}.

Step 4: In the same vein, {x\%}={2.55}.

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

{100\%}={8.53}(1).

{x\%}={2.55}(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{8.53}{2.55}

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

\frac{x\%}{100\%}=\frac{2.55}{8.53}

\Rightarrow{x} = {29.89449003517\%}

Therefore, {2.55} is {29.89449003517\%} of {8.53}.

#### Solution for 8.53 is what percent of 2.55:

8.53:2.55*100 =

(8.53*100):2.55 =

853:2.55 = 334.50980392157

Now we have: 8.53 is what percent of 2.55 = 334.50980392157

Question: 8.53 is what percent of 2.55?

Percentage solution with steps:

Step 1: We make the assumption that 2.55 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\%}={2.55}.

Step 4: In the same vein, {x\%}={8.53}.

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

{100\%}={2.55}(1).

{x\%}={8.53}(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{2.55}{8.53}

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

\frac{x\%}{100\%}=\frac{8.53}{2.55}

\Rightarrow{x} = {334.50980392157\%}

Therefore, {8.53} is {334.50980392157\%} of {2.55}.

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