10.84 is what percent of 23.67 - 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 23.67 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 23.67, so we can write it down as 100%=23.67.
4. We know, that x% equals 10.84 of the output value, so we can write it down as x%=10.84.
5. Now we have two simple equations:
1) 100%=23.67
2) x%=10.84
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%=23.67/10.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.84 is what percent of 23.67

100%/x%=23.67/10.84
(100/x)*x=(23.67/10.84)*x       - we multiply both sides of the equation by x
100=2.1835793357934*x       - we divide both sides of the equation by (2.1835793357934) to get x
100/2.1835793357934=x
45.796366708914=x
x=45.796366708914

now we have:
10.84 is 45.796366708914% of 23.67