10.27 is what percent of 60.33 - 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 60.33 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 60.33, so we can write it down as 100%=60.33.
4. We know, that x% equals 10.27 of the output value, so we can write it down as x%=10.27.
5. Now we have two simple equations:
1) 100%=60.33
2) x%=10.27
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%=60.33/10.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.27 is what percent of 60.33

100%/x%=60.33/10.27
(100/x)*x=(60.33/10.27)*x       - we multiply both sides of the equation by x
100=5.8743914313535*x       - we divide both sides of the equation by (5.8743914313535) to get x
100/5.8743914313535=x
17.023039946958=x
x=17.023039946958

now we have:
10.27 is 17.023039946958% of 60.33