259.19 is what percent of 10742 - 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 10742 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 10742, so we can write it down as 100%=10742.
4. We know, that x% equals 259.19 of the output value, so we can write it down as x%=259.19.
5. Now we have two simple equations:
1) 100%=10742
2) x%=259.19
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%=10742/259.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.19 is what percent of 10742

100%/x%=10742/259.19
(100/x)*x=(10742/259.19)*x       - we multiply both sides of the equation by x
100=41.444500173618*x       - we divide both sides of the equation by (41.444500173618) to get x
100/41.444500173618=x
2.4128653881959=x
x=2.4128653881959

now we have:
259.19 is 2.4128653881959% of 10742