170.45 is what percent of 790 - 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 790 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 790, so we can write it down as 100%=790.
4. We know, that x% equals 170.45 of the output value, so we can write it down as x%=170.45.
5. Now we have two simple equations:
1) 100%=790
2) x%=170.45
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%=790/170.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.45 is what percent of 790

100%/x%=790/170.45
(100/x)*x=(790/170.45)*x       - we multiply both sides of the equation by x
100=4.6347902610736*x       - we divide both sides of the equation by (4.6347902610736) to get x
100/4.6347902610736=x
21.575949367089=x
x=21.575949367089

now we have:
170.45 is 21.575949367089% of 790