16160.46 is what percent of 150842.07 - 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 150842.07 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 150842.07, so we can write it down as 100%=150842.07.
4. We know, that x% equals 16160.46 of the output value, so we can write it down as x%=16160.46.
5. Now we have two simple equations:
1) 100%=150842.07
2) x%=16160.46
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%=150842.07/16160.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16160.46 is what percent of 150842.07

100%/x%=150842.07/16160.46
(100/x)*x=(150842.07/16160.46)*x       - we multiply both sides of the equation by x
100=9.334020813764*x       - we divide both sides of the equation by (9.334020813764) to get x
100/9.334020813764=x
10.713496572939=x
x=10.713496572939

now we have:
16160.46 is 10.713496572939% of 150842.07