750.55 is what percent of 1020 - 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 1020 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 1020, so we can write it down as 100%=1020.
4. We know, that x% equals 750.55 of the output value, so we can write it down as x%=750.55.
5. Now we have two simple equations:
1) 100%=1020
2) x%=750.55
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%=1020/750.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 750.55 is what percent of 1020

100%/x%=1020/750.55
(100/x)*x=(1020/750.55)*x       - we multiply both sides of the equation by x
100=1.3590033975085*x       - we divide both sides of the equation by (1.3590033975085) to get x
100/1.3590033975085=x
73.583333333333=x
x=73.583333333333

now we have:
750.55 is 73.583333333333% of 1020