44.81 is what percent of 402.02 - 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 402.02 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 402.02, so we can write it down as 100%=402.02.
4. We know, that x% equals 44.81 of the output value, so we can write it down as x%=44.81.
5. Now we have two simple equations:
1) 100%=402.02
2) x%=44.81
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%=402.02/44.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.81 is what percent of 402.02

100%/x%=402.02/44.81
(100/x)*x=(402.02/44.81)*x       - we multiply both sides of the equation by x
100=8.9716581120286*x       - we divide both sides of the equation by (8.9716581120286) to get x
100/8.9716581120286=x
11.146211631262=x
x=11.146211631262

now we have:
44.81 is 11.146211631262% of 402.02