258.12 is what percent of 237.47 - 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 237.47 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 237.47, so we can write it down as 100%=237.47.
4. We know, that x% equals 258.12 of the output value, so we can write it down as x%=258.12.
5. Now we have two simple equations:
1) 100%=237.47
2) x%=258.12
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%=237.47/258.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.12 is what percent of 237.47

100%/x%=237.47/258.12
(100/x)*x=(237.47/258.12)*x       - we multiply both sides of the equation by x
100=0.91999845033318*x       - we divide both sides of the equation by (0.91999845033318) to get x
100/0.91999845033318=x
108.6958352634=x
x=108.6958352634

now we have:
258.12 is 108.6958352634% of 237.47