#### Solution for 10 is what percent of 15.89:

10:15.89*100 =

(10*100):15.89 =

1000:15.89 = 62.932662051605

Now we have: 10 is what percent of 15.89 = 62.932662051605

Question: 10 is what percent of 15.89?

Percentage solution with steps:

Step 1: We make the assumption that 15.89 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\%}={15.89}.

Step 4: In the same vein, {x\%}={10}.

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

{100\%}={15.89}(1).

{x\%}={10}(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{15.89}{10}

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

\frac{x\%}{100\%}=\frac{10}{15.89}

\Rightarrow{x} = {62.932662051605\%}

Therefore, {10} is {62.932662051605\%} of {15.89}.

#### Solution for 15.89 is what percent of 10:

15.89:10*100 =

(15.89*100):10 =

1589:10 = 158.9

Now we have: 15.89 is what percent of 10 = 158.9

Question: 15.89 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={10}.

Step 4: In the same vein, {x\%}={15.89}.

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

{100\%}={10}(1).

{x\%}={15.89}(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{10}{15.89}

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

\frac{x\%}{100\%}=\frac{15.89}{10}

\Rightarrow{x} = {158.9\%}

Therefore, {15.89} is {158.9\%} of {10}.

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