106.99 is what percent of 145.99 - 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 145.99 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 145.99, so we can write it down as 100%=145.99.
4. We know, that x% equals 106.99 of the output value, so we can write it down as x%=106.99.
5. Now we have two simple equations:
1) 100%=145.99
2) x%=106.99
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%=145.99/106.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.99 is what percent of 145.99

100%/x%=145.99/106.99
(100/x)*x=(145.99/106.99)*x       - we multiply both sides of the equation by x
100=1.3645200486027*x       - we divide both sides of the equation by (1.3645200486027) to get x
100/1.3645200486027=x
73.285841495993=x
x=73.285841495993

now we have:
106.99 is 73.285841495993% of 145.99