10.74 is what percent of 10.84 - 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 10.84 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 10.84, so we can write it down as 100%=10.84.
4. We know, that x% equals 10.74 of the output value, so we can write it down as x%=10.74.
5. Now we have two simple equations:
1) 100%=10.84
2) x%=10.74
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%=10.84/10.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.74 is what percent of 10.84

100%/x%=10.84/10.74
(100/x)*x=(10.84/10.74)*x       - we multiply both sides of the equation by x
100=1.00931098696*x       - we divide both sides of the equation by (1.00931098696) to get x
100/1.00931098696=x
99.0774907749=x
x=99.0774907749

now we have:
10.74 is 99.0774907749% of 10.84