#### Solution for 16 is what percent of 152.5:

16:152.5*100 =

(16*100):152.5 =

1600:152.5 = 10.491803278689

Now we have: 16 is what percent of 152.5 = 10.491803278689

Question: 16 is what percent of 152.5?

Percentage solution with steps:

Step 1: We make the assumption that 152.5 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\%}={152.5}.

Step 4: In the same vein, {x\%}={16}.

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

{100\%}={152.5}(1).

{x\%}={16}(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{152.5}{16}

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

\frac{x\%}{100\%}=\frac{16}{152.5}

\Rightarrow{x} = {10.491803278689\%}

Therefore, {16} is {10.491803278689\%} of {152.5}.

#### Solution for 152.5 is what percent of 16:

152.5:16*100 =

(152.5*100):16 =

15250:16 = 953.125

Now we have: 152.5 is what percent of 16 = 953.125

Question: 152.5 is what percent of 16?

Percentage solution with steps:

Step 1: We make the assumption that 16 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\%}={16}.

Step 4: In the same vein, {x\%}={152.5}.

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

{100\%}={16}(1).

{x\%}={152.5}(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{16}{152.5}

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

\frac{x\%}{100\%}=\frac{152.5}{16}

\Rightarrow{x} = {953.125\%}

Therefore, {152.5} is {953.125\%} of {16}.

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