142.82 is what percent of 222 - 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 222 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 222, so we can write it down as 100%=222.
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%=222
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%=222/142.82
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 222

100%/x%=222/142.82
(100/x)*x=(222/142.82)*x       - we multiply both sides of the equation by x
100=1.5544041450777*x       - we divide both sides of the equation by (1.5544041450777) to get x
100/1.5544041450777=x
64.333333333333=x
x=64.333333333333

now we have:
142.82 is 64.333333333333% of 222