MATH SOLVE

2 months ago

Q:
# 68 is what percent of 71?

Accepted Solution

A:

1. We assume, that the number 71 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 71 is 100%, so we can write it down as 71=100%.

4. We know, that x is 68% of the output value, so we can write it down as x=68%.

5. Now we have two simple equations:

1) 71=100%

2) x=68%

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:

71/x=100%/68%

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 68% of 71

71/x=100/68

(71/x)*x=(100/68)*x - we multiply both sides of the equation by x

71=1.4705882352941*x - we divide both sides of the equation by (1.4705882352941) to get x

71/1.4705882352941=x

48.28=x

x=48.28

now we have:

68% of 71=48.28

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

3. If 71 is 100%, so we can write it down as 71=100%.

4. We know, that x is 68% of the output value, so we can write it down as x=68%.

5. Now we have two simple equations:

1) 71=100%

2) x=68%

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:

71/x=100%/68%

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 68% of 71

71/x=100/68

(71/x)*x=(100/68)*x - we multiply both sides of the equation by x

71=1.4705882352941*x - we divide both sides of the equation by (1.4705882352941) to get x

71/1.4705882352941=x

48.28=x

x=48.28

now we have:

68% of 71=48.28