42.99 is what percent of 86.96 - 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 86.96 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 86.96, so we can write it down as 100%=86.96.
4. We know, that x% equals 42.99 of the output value, so we can write it down as x%=42.99.
5. Now we have two simple equations:
1) 100%=86.96
2) x%=42.99
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%=86.96/42.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.99 is what percent of 86.96

100%/x%=86.96/42.99
(100/x)*x=(86.96/42.99)*x       - we multiply both sides of the equation by x
100=2.0227959990696*x       - we divide both sides of the equation by (2.0227959990696) to get x
100/2.0227959990696=x
49.436522539098=x
x=49.436522539098

now we have:
42.99 is 49.436522539098% of 86.96