10.95 is what percent of 2.05 - 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 2.05 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 2.05, so we can write it down as 100%=2.05.
4. We know, that x% equals 10.95 of the output value, so we can write it down as x%=10.95.
5. Now we have two simple equations:
1) 100%=2.05
2) x%=10.95
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%=2.05/10.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.95 is what percent of 2.05

100%/x%=2.05/10.95
(100/x)*x=(2.05/10.95)*x       - we multiply both sides of the equation by x
100=0.18721461187215*x       - we divide both sides of the equation by (0.18721461187215) to get x
100/0.18721461187215=x
534.14634146341=x
x=534.14634146341

now we have:
10.95 is 534.14634146341% of 2.05