5.97 is what percent of 10.851 - 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 10.851 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 10.851, so we can write it down as 100%=10.851.
4. We know, that x% equals 5.97 of the output value, so we can write it down as x%=5.97.
5. Now we have two simple equations:
1) 100%=10.851
2) x%=5.97
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%=10.851/5.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.97 is what percent of 10.851

100%/x%=10.851/5.97
(100/x)*x=(10.851/5.97)*x       - we multiply both sides of the equation by x
100=1.8175879396985*x       - we divide both sides of the equation by (1.8175879396985) to get x
100/1.8175879396985=x
55.017970693945=x
x=55.017970693945

now we have:
5.97 is 55.017970693945% of 10.851