529.1 is what percent of 1098.28 - 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 1098.28 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 1098.28, so we can write it down as 100%=1098.28.
4. We know, that x% equals 529.1 of the output value, so we can write it down as x%=529.1.
5. Now we have two simple equations:
1) 100%=1098.28
2) x%=529.1
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%=1098.28/529.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 529.1 is what percent of 1098.28

100%/x%=1098.28/529.1
(100/x)*x=(1098.28/529.1)*x       - we multiply both sides of the equation by x
100=2.0757512757513*x       - we divide both sides of the equation by (2.0757512757513) to get x
100/2.0757512757513=x
48.175328695779=x
x=48.175328695779

now we have:
529.1 is 48.175328695779% of 1098.28