10.11 is what percent of 147.25 - 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 147.25 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 147.25, so we can write it down as 100%=147.25.
4. We know, that x% equals 10.11 of the output value, so we can write it down as x%=10.11.
5. Now we have two simple equations:
1) 100%=147.25
2) x%=10.11
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%=147.25/10.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.11 is what percent of 147.25

100%/x%=147.25/10.11
(100/x)*x=(147.25/10.11)*x       - we multiply both sides of the equation by x
100=14.564787339268*x       - we divide both sides of the equation by (14.564787339268) to get x
100/14.564787339268=x
6.8658743633277=x
x=6.8658743633277

now we have:
10.11 is 6.8658743633277% of 147.25