#### Solution for 26 is what percent of .25:

26:.25*100 =

(26*100):.25 =

2600:.25 = 10400

Now we have: 26 is what percent of .25 = 10400

Question: 26 is what percent of .25?

Percentage solution with steps:

Step 1: We make the assumption that .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\%}={.25}.

Step 4: In the same vein, {x\%}={26}.

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

{100\%}={.25}(1).

{x\%}={26}(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}{26}

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

\frac{x\%}{100\%}=\frac{26}{.25}

\Rightarrow{x} = {10400\%}

Therefore, {26} is {10400\%} of {.25}.

#### Solution for .25 is what percent of 26:

.25:26*100 =

(.25*100):26 =

25:26 = 0.96

Now we have: .25 is what percent of 26 = 0.96

Question: .25 is what percent of 26?

Percentage solution with steps:

Step 1: We make the assumption that 26 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\%}={26}.

Step 4: In the same vein, {x\%}={.25}.

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

{100\%}={26}(1).

{x\%}={.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{26}{.25}

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

\frac{x\%}{100\%}=\frac{.25}{26}

\Rightarrow{x} = {0.96\%}

Therefore, {.25} is {0.96\%} of {26}.

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