258.17 is what percent of 288.23 - 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 288.23 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 288.23, so we can write it down as 100%=288.23.
4. We know, that x% equals 258.17 of the output value, so we can write it down as x%=258.17.
5. Now we have two simple equations:
1) 100%=288.23
2) x%=258.17
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%=288.23/258.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.17 is what percent of 288.23

100%/x%=288.23/258.17
(100/x)*x=(288.23/258.17)*x       - we multiply both sides of the equation by x
100=1.1164349072317*x       - we divide both sides of the equation by (1.1164349072317) to get x
100/1.1164349072317=x
89.570828851959=x
x=89.570828851959

now we have:
258.17 is 89.570828851959% of 288.23