#### Solution for 25.6 is what percent of 94.2:

25.6:94.2*100 =

(25.6*100):94.2 =

2560:94.2 = 27.176220806794

Now we have: 25.6 is what percent of 94.2 = 27.176220806794

Question: 25.6 is what percent of 94.2?

Percentage solution with steps:

Step 1: We make the assumption that 94.2 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\%}={94.2}.

Step 4: In the same vein, {x\%}={25.6}.

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

{100\%}={94.2}(1).

{x\%}={25.6}(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{94.2}{25.6}

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

\frac{x\%}{100\%}=\frac{25.6}{94.2}

\Rightarrow{x} = {27.176220806794\%}

Therefore, {25.6} is {27.176220806794\%} of {94.2}.

#### Solution for 94.2 is what percent of 25.6:

94.2:25.6*100 =

(94.2*100):25.6 =

9420:25.6 = 367.96875

Now we have: 94.2 is what percent of 25.6 = 367.96875

Question: 94.2 is what percent of 25.6?

Percentage solution with steps:

Step 1: We make the assumption that 25.6 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\%}={25.6}.

Step 4: In the same vein, {x\%}={94.2}.

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

{100\%}={25.6}(1).

{x\%}={94.2}(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{25.6}{94.2}

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

\frac{x\%}{100\%}=\frac{94.2}{25.6}

\Rightarrow{x} = {367.96875\%}

Therefore, {94.2} is {367.96875\%} of {25.6}.

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