156.67 is what percent of 1440 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1440 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 100% equals 1440, so we can write it down as 100%=1440.
4. We know, that x% equals 156.67 of the output value, so we can write it down as x%=156.67.
5. Now we have two simple equations:
1) 100%=1440
2) x%=156.67
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:
100%/x%=1440/156.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.67 is what percent of 1440

100%/x%=1440/156.67
(100/x)*x=(1440/156.67)*x       - we multiply both sides of the equation by x
100=9.1912938022595*x       - we divide both sides of the equation by (9.1912938022595) to get x
100/9.1912938022595=x
10.879861111111=x
x=10.879861111111

now we have:
156.67 is 10.879861111111% of 1440