583.77 is what percent of 5837.72 - 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 5837.72 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 5837.72, so we can write it down as 100%=5837.72.
4. We know, that x% equals 583.77 of the output value, so we can write it down as x%=583.77.
5. Now we have two simple equations:
1) 100%=5837.72
2) x%=583.77
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%=5837.72/583.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 583.77 is what percent of 5837.72

100%/x%=5837.72/583.77
(100/x)*x=(5837.72/583.77)*x       - we multiply both sides of the equation by x
100=10.000034260068*x       - we divide both sides of the equation by (10.000034260068) to get x
100/10.000034260068=x
9.9999657400492=x
x=9.9999657400492

now we have:
583.77 is 9.9999657400492% of 5837.72