142.9 is what percent of 220.03 - 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 220.03 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 220.03, so we can write it down as 100%=220.03.
4. We know, that x% equals 142.9 of the output value, so we can write it down as x%=142.9.
5. Now we have two simple equations:
1) 100%=220.03
2) x%=142.9
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%=220.03/142.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.9 is what percent of 220.03

100%/x%=220.03/142.9
(100/x)*x=(220.03/142.9)*x       - we multiply both sides of the equation by x
100=1.5397480755773*x       - we divide both sides of the equation by (1.5397480755773) to get x
100/1.5397480755773=x
64.945689224197=x
x=64.945689224197

now we have:
142.9 is 64.945689224197% of 220.03