172.8 is what percent of 1779.33 - 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 1779.33 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 1779.33, so we can write it down as 100%=1779.33.
4. We know, that x% equals 172.8 of the output value, so we can write it down as x%=172.8.
5. Now we have two simple equations:
1) 100%=1779.33
2) x%=172.8
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%=1779.33/172.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.8 is what percent of 1779.33

100%/x%=1779.33/172.8
(100/x)*x=(1779.33/172.8)*x       - we multiply both sides of the equation by x
100=10.297048611111*x       - we divide both sides of the equation by (10.297048611111) to get x
100/10.297048611111=x
9.7115206285512=x
x=9.7115206285512

now we have:
172.8 is 9.7115206285512% of 1779.33