142.82 is what percent of 150 - 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 150 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 150, so we can write it down as 100%=150.
4. We know, that x% equals 142.82 of the output value, so we can write it down as x%=142.82.
5. Now we have two simple equations:
1) 100%=150
2) x%=142.82
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%=150/142.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.82 is what percent of 150

100%/x%=150/142.82
(100/x)*x=(150/142.82)*x       - we multiply both sides of the equation by x
100=1.0502730709985*x       - we divide both sides of the equation by (1.0502730709985) to get x
100/1.0502730709985=x
95.213333333333=x
x=95.213333333333

now we have:
142.82 is 95.213333333333% of 150