47.99 is what percent of 109.99 - 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 109.99 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 109.99, so we can write it down as 100%=109.99.
4. We know, that x% equals 47.99 of the output value, so we can write it down as x%=47.99.
5. Now we have two simple equations:
1) 100%=109.99
2) x%=47.99
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%=109.99/47.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.99 is what percent of 109.99

100%/x%=109.99/47.99
(100/x)*x=(109.99/47.99)*x       - we multiply both sides of the equation by x
100=2.2919358199625*x       - we divide both sides of the equation by (2.2919358199625) to get x
100/2.2919358199625=x
43.631239203564=x
x=43.631239203564

now we have:
47.99 is 43.631239203564% of 109.99