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Solution for 13.0 is what percent of 78:

13.0:78*100 =

(13.0*100):78 =

1300:78 = 16.666666666667

Now we have: 13.0 is what percent of 78 = 16.666666666667

Question: 13.0 is what percent of 78?

Percentage solution with steps:

Step 1: We make the assumption that 78 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\%}={78}.

Step 4: In the same vein, {x\%}={13.0}.

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

{100\%}={78}(1).

{x\%}={13.0}(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{78}{13.0}

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

\frac{x\%}{100\%}=\frac{13.0}{78}

\Rightarrow{x} = {16.666666666667\%}

Therefore, {13.0} is {16.666666666667\%} of {78}.

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• 13.0 is what percent of 100 = 13

Solution for 78 is what percent of 13.0:

78:13.0*100 =

(78*100):13.0 =

7800:13.0 = 600

Now we have: 78 is what percent of 13.0 = 600

Question: 78 is what percent of 13.0?

Percentage solution with steps:

Step 1: We make the assumption that 13.0 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\%}={13.0}.

Step 4: In the same vein, {x\%}={78}.

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

{100\%}={13.0}(1).

{x\%}={78}(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{13.0}{78}

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

\frac{x\%}{100\%}=\frac{78}{13.0}

\Rightarrow{x} = {600\%}

Therefore, {78} is {600\%} of {13.0}.