Question

92.4 is 150% of what number?

Answer 1

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

Answer 2

Number is 61.6

Explanation:

Given : 92.4 is 150%.

To find : what number.

Solution : We have given 92.4 is 150%.

Let the number = x

According to question :

150% of x = 92.4

`(150)/(100) *x` = 92.4

On multiplying both sides by 100

150 x = 92.4 * 100.

150 x = 9240

On dividing both sides by 150 .

x =
`(9240)/(150)`.

x = 61. 6

Therefore, Number is 61.6