10.84 is what percent of 867.35 - 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 867.35 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 867.35, so we can write it down as 100%=867.35.
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%=867.35
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%=867.35/10.84
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 867.35

100%/x%=867.35/10.84
(100/x)*x=(867.35/10.84)*x       - we multiply both sides of the equation by x
100=80.013837638376*x       - we divide both sides of the equation by (80.013837638376) to get x
100/80.013837638376=x
1.2497838242924=x
x=1.2497838242924

now we have:
10.84 is 1.2497838242924% of 867.35