61.8 is what percent of 45.4 - 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 45.4 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 45.4, so we can write it down as 100%=45.4.
4. We know, that x% equals 61.8 of the output value, so we can write it down as x%=61.8.
5. Now we have two simple equations:
1) 100%=45.4
2) x%=61.8
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%=45.4/61.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.8 is what percent of 45.4

100%/x%=45.4/61.8
(100/x)*x=(45.4/61.8)*x       - we multiply both sides of the equation by x
100=0.73462783171521*x       - we divide both sides of the equation by (0.73462783171521) to get x
100/0.73462783171521=x
136.12334801762=x
x=136.12334801762

now we have:
61.8 is 136.12334801762% of 45.4