169.32 is what percent of 918.48 - 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 918.48 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 918.48, so we can write it down as 100%=918.48.
4. We know, that x% equals 169.32 of the output value, so we can write it down as x%=169.32.
5. Now we have two simple equations:
1) 100%=918.48
2) x%=169.32
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%=918.48/169.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 169.32 is what percent of 918.48

100%/x%=918.48/169.32
(100/x)*x=(918.48/169.32)*x       - we multiply both sides of the equation by x
100=5.4245216158753*x       - we divide both sides of the equation by (5.4245216158753) to get x
100/5.4245216158753=x
18.434805330546=x
x=18.434805330546

now we have:
169.32 is 18.434805330546% of 918.48