159.9 is what percent of 450.9 - 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 450.9 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 450.9, so we can write it down as 100%=450.9.
4. We know, that x% equals 159.9 of the output value, so we can write it down as x%=159.9.
5. Now we have two simple equations:
1) 100%=450.9
2) x%=159.9
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%=450.9/159.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.9 is what percent of 450.9

100%/x%=450.9/159.9
(100/x)*x=(450.9/159.9)*x       - we multiply both sides of the equation by x
100=2.8198874296435*x       - we divide both sides of the equation by (2.8198874296435) to get x
100/2.8198874296435=x
35.462408516301=x
x=35.462408516301

now we have:
159.9 is 35.462408516301% of 450.9