MATH SOLVE

4 months ago

Q:
# 92.4 is 150% of what number?

Accepted Solution

A:

1. We assume, that the number 92.4 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 92.4 is 100%, so we can write it down as 92.4=100%.

4. We know, that x is 150% of the output value, so we can write it down as x=150%.

5. Now we have two simple equations:

1) 92.4=100%

2) x=150%

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:

92.4/x=100%/150%

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 150% of 92.4

92.4/x=100/150

(92.4/x)*x=(100/150)*x - we multiply both sides of the equation by x

92.4=0.666666666667*x - we divide both sides of the equation by (0.666666666667) to get x

92.4/0.666666666667=x

138.6=x

x=138.6

now we have:

150% of 92.4=138.6

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

3. If 92.4 is 100%, so we can write it down as 92.4=100%.

4. We know, that x is 150% of the output value, so we can write it down as x=150%.

5. Now we have two simple equations:

1) 92.4=100%

2) x=150%

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:

92.4/x=100%/150%

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 150% of 92.4

92.4/x=100/150

(92.4/x)*x=(100/150)*x - we multiply both sides of the equation by x

92.4=0.666666666667*x - we divide both sides of the equation by (0.666666666667) to get x

92.4/0.666666666667=x

138.6=x

x=138.6

now we have:

150% of 92.4=138.6