620.95 is what percent of 1020.4 - 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 1020.4 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 1020.4, so we can write it down as 100%=1020.4.
4. We know, that x% equals 620.95 of the output value, so we can write it down as x%=620.95.
5. Now we have two simple equations:
1) 100%=1020.4
2) x%=620.95
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%=1020.4/620.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 620.95 is what percent of 1020.4

100%/x%=1020.4/620.95
(100/x)*x=(1020.4/620.95)*x       - we multiply both sides of the equation by x
100=1.6432885095418*x       - we divide both sides of the equation by (1.6432885095418) to get x
100/1.6432885095418=x
60.853586828695=x
x=60.853586828695

now we have:
620.95 is 60.853586828695% of 1020.4