70.45 is what percent of 74.5 - 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 74.5 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 74.5, so we can write it down as 100%=74.5.
4. We know, that x% equals 70.45 of the output value, so we can write it down as x%=70.45.
5. Now we have two simple equations:
1) 100%=74.5
2) x%=70.45
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%=74.5/70.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.45 is what percent of 74.5

100%/x%=74.5/70.45
(100/x)*x=(74.5/70.45)*x       - we multiply both sides of the equation by x
100=1.0574875798439*x       - we divide both sides of the equation by (1.0574875798439) to get x
100/1.0574875798439=x
94.563758389262=x
x=94.563758389262

now we have:
70.45 is 94.563758389262% of 74.5