184.2 is what percent of 140.25 - 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 140.25 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 140.25, so we can write it down as 100%=140.25.
4. We know, that x% equals 184.2 of the output value, so we can write it down as x%=184.2.
5. Now we have two simple equations:
1) 100%=140.25
2) x%=184.2
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%=140.25/184.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 184.2 is what percent of 140.25

100%/x%=140.25/184.2
(100/x)*x=(140.25/184.2)*x       - we multiply both sides of the equation by x
100=0.7614006514658*x       - we divide both sides of the equation by (0.7614006514658) to get x
100/0.7614006514658=x
131.33689839572=x
x=131.33689839572

now we have:
184.2 is 131.33689839572% of 140.25