960.64 is what percent of 1779.28 - 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 1779.28 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 1779.28, so we can write it down as 100%=1779.28.
4. We know, that x% equals 960.64 of the output value, so we can write it down as x%=960.64.
5. Now we have two simple equations:
1) 100%=1779.28
2) x%=960.64
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%=1779.28/960.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 960.64 is what percent of 1779.28

100%/x%=1779.28/960.64
(100/x)*x=(1779.28/960.64)*x       - we multiply both sides of the equation by x
100=1.8521818787475*x       - we divide both sides of the equation by (1.8521818787475) to get x
100/1.8521818787475=x
53.99037813048=x
x=53.99037813048

now we have:
960.64 is 53.99037813048% of 1779.28