142.3 is what percent of 222.5 - 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 222.5 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 222.5, so we can write it down as 100%=222.5.
4. We know, that x% equals 142.3 of the output value, so we can write it down as x%=142.3.
5. Now we have two simple equations:
1) 100%=222.5
2) x%=142.3
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%=222.5/142.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.3 is what percent of 222.5

100%/x%=222.5/142.3
(100/x)*x=(222.5/142.3)*x       - we multiply both sides of the equation by x
100=1.5635980323261*x       - we divide both sides of the equation by (1.5635980323261) to get x
100/1.5635980323261=x
63.955056179775=x
x=63.955056179775

now we have:
142.3 is 63.955056179775% of 222.5