Question

85 is 40% of what number A: 212.5 B: 47.1 C: 34 D:45

Answer 1

Answer:

A: 212.5

Step-by-step explanation:

1. We assume, that the number 212.5 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 212.5 is 100%, so we can write it down as 212.5=100%.  

4. We know, that x is 40% of the output value, so we can write it down as x=40%.  

5. Now we have two simple equations:

1) 212.5=100%

2) x=40%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

212.5/x=100%/40%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 40% of 212.5

212.5/x=100/40

(212.5/x)*x=(100/40)*x       - we multiply both sides of the equation by x

212.5=2.5*x       - we divide both sides of the equation by (2.5) to get x

212.5/2.5=x  

85=x  

x=85

Answer 2

Answer:

212.5

Step-by-step explanation:

is/of=%/100