10.76 is what percent of 445 - 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 445 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 445, so we can write it down as 100%=445.
4. We know, that x% equals 10.76 of the output value, so we can write it down as x%=10.76.
5. Now we have two simple equations:
1) 100%=445
2) x%=10.76
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%=445/10.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.76 is what percent of 445

100%/x%=445/10.76
(100/x)*x=(445/10.76)*x       - we multiply both sides of the equation by x
100=41.35687732342*x       - we divide both sides of the equation by (41.35687732342) to get x
100/41.35687732342=x
2.4179775280899=x
x=2.4179775280899

now we have:
10.76 is 2.4179775280899% of 445