#### Solution for 8.70 is what percent of 29.5:

8.70:29.5*100 =

(8.70*100):29.5 =

870:29.5 = 29.491525423729

Now we have: 8.70 is what percent of 29.5 = 29.491525423729

Question: 8.70 is what percent of 29.5?

Percentage solution with steps:

Step 1: We make the assumption that 29.5 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\%}={29.5}.

Step 4: In the same vein, {x\%}={8.70}.

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

{100\%}={29.5}(1).

{x\%}={8.70}(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{29.5}{8.70}

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

\frac{x\%}{100\%}=\frac{8.70}{29.5}

\Rightarrow{x} = {29.491525423729\%}

Therefore, {8.70} is {29.491525423729\%} of {29.5}.

#### Solution for 29.5 is what percent of 8.70:

29.5:8.70*100 =

(29.5*100):8.70 =

2950:8.70 = 339.08045977011

Now we have: 29.5 is what percent of 8.70 = 339.08045977011

Question: 29.5 is what percent of 8.70?

Percentage solution with steps:

Step 1: We make the assumption that 8.70 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\%}={8.70}.

Step 4: In the same vein, {x\%}={29.5}.

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

{100\%}={8.70}(1).

{x\%}={29.5}(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{8.70}{29.5}

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

\frac{x\%}{100\%}=\frac{29.5}{8.70}

\Rightarrow{x} = {339.08045977011\%}

Therefore, {29.5} is {339.08045977011\%} of {8.70}.

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