5241.2 is what percent of 10483.2 - 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 10483.2 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 10483.2, so we can write it down as 100%=10483.2.
4. We know, that x% equals 5241.2 of the output value, so we can write it down as x%=5241.2.
5. Now we have two simple equations:
1) 100%=10483.2
2) x%=5241.2
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%=10483.2/5241.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5241.2 is what percent of 10483.2

100%/x%=10483.2/5241.2
(100/x)*x=(10483.2/5241.2)*x       - we multiply both sides of the equation by x
100=2.0001526368007*x       - we divide both sides of the equation by (2.0001526368007) to get x
100/2.0001526368007=x
49.996184371184=x
x=49.996184371184

now we have:
5241.2 is 49.996184371184% of 10483.2