What is 115 percent of 42.6 - 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 42.6 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 42.6 is 100%, so we can write it down as 42.6=100%.
4. We know, that x is 115% of the output value, so we can write it down as x=115%.
5. Now we have two simple equations:
1) 42.6=100%
2) x=115%
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:
42.6/x=100%/115%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 115% of 42.6

42.6/x=100/115
(42.6/x)*x=(100/115)*x       - we multiply both sides of the equation by x
42.6=0.8695652173913*x       - we divide both sides of the equation by (0.8695652173913) to get x
42.6/0.8695652173913=x
48.99=x
x=48.99

now we have:
115% of 42.6=48.99