115.29 is what percent of 462.78 - 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 462.78 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 462.78, so we can write it down as 100%=462.78.
4. We know, that x% equals 115.29 of the output value, so we can write it down as x%=115.29.
5. Now we have two simple equations:
1) 100%=462.78
2) x%=115.29
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%=462.78/115.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.29 is what percent of 462.78

100%/x%=462.78/115.29
(100/x)*x=(462.78/115.29)*x       - we multiply both sides of the equation by x
100=4.0140515222482*x       - we divide both sides of the equation by (4.0140515222482) to get x
100/4.0140515222482=x
24.912485414236=x
x=24.912485414236

now we have:
115.29 is 24.912485414236% of 462.78