258.43 is what percent of 351.43 - 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 351.43 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 351.43, so we can write it down as 100%=351.43.
4. We know, that x% equals 258.43 of the output value, so we can write it down as x%=258.43.
5. Now we have two simple equations:
1) 100%=351.43
2) x%=258.43
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%=351.43/258.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.43 is what percent of 351.43

100%/x%=351.43/258.43
(100/x)*x=(351.43/258.43)*x       - we multiply both sides of the equation by x
100=1.3598653407112*x       - we divide both sides of the equation by (1.3598653407112) to get x
100/1.3598653407112=x
73.536692940273=x
x=73.536692940273

now we have:
258.43 is 73.536692940273% of 351.43