159.99 is what percent of 445.99 - 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 445.99 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 445.99, so we can write it down as 100%=445.99.
4. We know, that x% equals 159.99 of the output value, so we can write it down as x%=159.99.
5. Now we have two simple equations:
1) 100%=445.99
2) x%=159.99
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%=445.99/159.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.99 is what percent of 445.99

100%/x%=445.99/159.99
(100/x)*x=(445.99/159.99)*x       - we multiply both sides of the equation by x
100=2.7876117257329*x       - we divide both sides of the equation by (2.7876117257329) to get x
100/2.7876117257329=x
35.873001636808=x
x=35.873001636808

now we have:
159.99 is 35.873001636808% of 445.99