360.73 is what percent of 1154.32 - 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 1154.32 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 1154.32, so we can write it down as 100%=1154.32.
4. We know, that x% equals 360.73 of the output value, so we can write it down as x%=360.73.
5. Now we have two simple equations:
1) 100%=1154.32
2) x%=360.73
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%=1154.32/360.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 360.73 is what percent of 1154.32

100%/x%=1154.32/360.73
(100/x)*x=(1154.32/360.73)*x       - we multiply both sides of the equation by x
100=3.1999556454966*x       - we divide both sides of the equation by (3.1999556454966) to get x
100/3.1999556454966=x
31.250433155451=x
x=31.250433155451

now we have:
360.73 is 31.250433155451% of 1154.32