142.45 is what percent of 339.99 - 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 339.99 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 339.99, so we can write it down as 100%=339.99.
4. We know, that x% equals 142.45 of the output value, so we can write it down as x%=142.45.
5. Now we have two simple equations:
1) 100%=339.99
2) x%=142.45
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%=339.99/142.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.45 is what percent of 339.99

100%/x%=339.99/142.45
(100/x)*x=(339.99/142.45)*x       - we multiply both sides of the equation by x
100=2.3867321867322*x       - we divide both sides of the equation by (2.3867321867322) to get x
100/2.3867321867322=x
41.89829112621=x
x=41.89829112621

now we have:
142.45 is 41.89829112621% of 339.99