Solution for 7.8 is what percent of 26:

7.8:26*100 =

(7.8*100):26 =

780:26 = 30

Now we have: 7.8 is what percent of 26 = 30

Question: 7.8 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\%}={7.8}.

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

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

{x\%}={7.8}(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}{7.8}

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

\frac{x\%}{100\%}=\frac{7.8}{26}

\Rightarrow{x} = {30\%}

Therefore, {7.8} is {30\%} of {26}.

Solution for 26 is what percent of 7.8:

26:7.8*100 =

(26*100):7.8 =

2600:7.8 = 333.33333333333

Now we have: 26 is what percent of 7.8 = 333.33333333333

Question: 26 is what percent of 7.8?

Percentage solution with steps:

Step 1: We make the assumption that 7.8 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\%}={7.8}.

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

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

{100\%}={7.8}(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{7.8}{26}

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

\frac{x\%}{100\%}=\frac{26}{7.8}

\Rightarrow{x} = {333.33333333333\%}

Therefore, {26} is {333.33333333333\%} of {7.8}.

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