259.72 is what percent of 3530 - 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 3530 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 3530, so we can write it down as 100%=3530.
4. We know, that x% equals 259.72 of the output value, so we can write it down as x%=259.72.
5. Now we have two simple equations:
1) 100%=3530
2) x%=259.72
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%=3530/259.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.72 is what percent of 3530

100%/x%=3530/259.72
(100/x)*x=(3530/259.72)*x       - we multiply both sides of the equation by x
100=13.591560141691*x       - we divide both sides of the equation by (13.591560141691) to get x
100/13.591560141691=x
7.357507082153=x
x=7.357507082153

now we have:
259.72 is 7.357507082153% of 3530