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## 16.47 is what percent of 61 show step by step

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16.47 is what percent of 61 show step by step

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Mathematics
3 years
2021-08-21T11:41:54+00:00
2021-08-21T11:41:54+00:00 1 Answers
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## Answers ( )

Solution for 47 is what percent of 61:

47:61*100 =

(47*100):61 =

4700:61 = 77.05

Now we have: 47 is what percent of 61 = 77.05

Question: 47 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=61$100%=61.

Step 4: In the same vein, $x\%=47$x%=47.

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

$100\%=61(1)$100%=61(1).

$x\%=47(2)$x%=47(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

$\frac{100\%}{x\%}=\frac{61}{47}$

100%

x%=

61

47

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

$\frac{x\%}{100\%}=\frac{47}{61}$

x%

100%=

47

61

$\Rightarrow x=77.05\%$⇒x=77.05%

Therefore, $47$47 is $77.05\%$77.05% of $61$61.