156.4 is what percent of 240 - 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 240 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 240, so we can write it down as 100%=240.
4. We know, that x% equals 156.4 of the output value, so we can write it down as x%=156.4.
5. Now we have two simple equations:
1) 100%=240
2) x%=156.4
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%=240/156.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.4 is what percent of 240

100%/x%=240/156.4
(100/x)*x=(240/156.4)*x       - we multiply both sides of the equation by x
100=1.5345268542199*x       - we divide both sides of the equation by (1.5345268542199) to get x
100/1.5345268542199=x
65.166666666667=x
x=65.166666666667

now we have:
156.4 is 65.166666666667% of 240