259.46 is what percent of 943.29 - 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 943.29 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 943.29, so we can write it down as 100%=943.29.
4. We know, that x% equals 259.46 of the output value, so we can write it down as x%=259.46.
5. Now we have two simple equations:
1) 100%=943.29
2) x%=259.46
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%=943.29/259.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.46 is what percent of 943.29

100%/x%=943.29/259.46
(100/x)*x=(943.29/259.46)*x       - we multiply both sides of the equation by x
100=3.6355893008556*x       - we divide both sides of the equation by (3.6355893008556) to get x
100/3.6355893008556=x
27.505857159516=x
x=27.505857159516

now we have:
259.46 is 27.505857159516% of 943.29