142.33 is what percent of 186.67 - 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 186.67 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 186.67, so we can write it down as 100%=186.67.
4. We know, that x% equals 142.33 of the output value, so we can write it down as x%=142.33.
5. Now we have two simple equations:
1) 100%=186.67
2) x%=142.33
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%=186.67/142.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.33 is what percent of 186.67

100%/x%=186.67/142.33
(100/x)*x=(186.67/142.33)*x       - we multiply both sides of the equation by x
100=1.3115295440174*x       - we divide both sides of the equation by (1.3115295440174) to get x
100/1.3115295440174=x
76.246852734773=x
x=76.246852734773

now we have:
142.33 is 76.246852734773% of 186.67