108.74 is what percent of 153.544 - 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 153.544 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 153.544, so we can write it down as 100%=153.544.
4. We know, that x% equals 108.74 of the output value, so we can write it down as x%=108.74.
5. Now we have two simple equations:
1) 100%=153.544
2) x%=108.74
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%=153.544/108.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.74 is what percent of 153.544

100%/x%=153.544/108.74
(100/x)*x=(153.544/108.74)*x       - we multiply both sides of the equation by x
100=1.4120286922935*x       - we divide both sides of the equation by (1.4120286922935) to get x
100/1.4120286922935=x
70.820090658052=x
x=70.820090658052

now we have:
108.74 is 70.820090658052% of 153.544