10.2 is what percent of 23 - 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 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, so we can write it down as 100%=23.
4. We know, that x% equals 10.2 of the output value, so we can write it down as x%=10.2.
5. Now we have two simple equations:
1) 100%=23
2) x%=10.2
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%=23/10.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.2 is what percent of 23

100%/x%=23/10.2
(100/x)*x=(23/10.2)*x       - we multiply both sides of the equation by x
100=2.2549019607843*x       - we divide both sides of the equation by (2.2549019607843) to get x
100/2.2549019607843=x
44.347826086957=x
x=44.347826086957

now we have:
10.2 is 44.347826086957% of 23