Respuesta :

400% is because 125 divided by 500 is 400

Answer:

400

Step-by-step explanation:

Solution for 500 is what percent of 125:

500:125*100 =  

(500*100):125 =  

50000:125 = 400  

Now we have: 500 is what percent of 125 = 400  

Question: 500 is what percent of 125?  

Percentage solution with steps:  

Step 1: We make the assumption that 125 is 100% since it is our output value.  

Step 2: We next represent the value we seek with [tex]x%[/tex].  

Step 3: From step 1, it follows that $100%=125$.

Step 4: In the same vein, $x%=500$.

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

100%=125(1)

x%=500(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

[tex]\frac{100\%}{x\%}=\frac{125}{500}[/tex]

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

[tex]\frac{x\%}{100\%}=\frac{500}{125}[/tex]

[tex]\Rightarrow x=400\%[/tex]

Therefore, 500 is 400% of 125

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