74.1 is what percent of 145.8 - 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 145.8 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 145.8, so we can write it down as 100%=145.8.
4. We know, that x% equals 74.1 of the output value, so we can write it down as x%=74.1.
5. Now we have two simple equations:
1) 100%=145.8
2) x%=74.1
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%=145.8/74.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.1 is what percent of 145.8

100%/x%=145.8/74.1
(100/x)*x=(145.8/74.1)*x       - we multiply both sides of the equation by x
100=1.9676113360324*x       - we divide both sides of the equation by (1.9676113360324) to get x
100/1.9676113360324=x
50.82304526749=x
x=50.82304526749

now we have:
74.1 is 50.82304526749% of 145.8