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Solution for 0.052 is what percent of 13:

0.052:13*100 =

(0.052*100):13 =

5.2:13 = 0.4

Now we have: 0.052 is what percent of 13 = 0.4

Question: 0.052 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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}.

Step 4: In the same vein, {x\%}={0.052}.

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

{100\%}={13}(1).

{x\%}={0.052}(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}{0.052}

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

\frac{x\%}{100\%}=\frac{0.052}{13}

\Rightarrow{x} = {0.4\%}

Therefore, {0.052} is {0.4\%} of {13}.

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• 0.052 is what percent of 100 = 0.05

Solution for 13 is what percent of 0.052:

13:0.052*100 =

(13*100):0.052 =

1300:0.052 = 25000

Now we have: 13 is what percent of 0.052 = 25000

Question: 13 is what percent of 0.052?

Percentage solution with steps:

Step 1: We make the assumption that 0.052 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\%}={0.052}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={0.052}(1).

{x\%}={13}(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{0.052}{13}

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

\frac{x\%}{100\%}=\frac{13}{0.052}

\Rightarrow{x} = {25000\%}

Therefore, {13} is {25000\%} of {0.052}.