142.2 is what percent of 329.3 - 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 329.3 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 329.3, so we can write it down as 100%=329.3.
4. We know, that x% equals 142.2 of the output value, so we can write it down as x%=142.2.
5. Now we have two simple equations:
1) 100%=329.3
2) x%=142.2
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%=329.3/142.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.2 is what percent of 329.3

100%/x%=329.3/142.2
(100/x)*x=(329.3/142.2)*x       - we multiply both sides of the equation by x
100=2.3157524613221*x       - we divide both sides of the equation by (2.3157524613221) to get x
100/2.3157524613221=x
43.182508351048=x
x=43.182508351048

now we have:
142.2 is 43.182508351048% of 329.3