10.2 is what percent of 43.33 - 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 43.33 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 43.33, so we can write it down as 100%=43.33.
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%=43.33
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%=43.33/10.2
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 43.33

100%/x%=43.33/10.2
(100/x)*x=(43.33/10.2)*x       - we multiply both sides of the equation by x
100=4.2480392156863*x       - we divide both sides of the equation by (4.2480392156863) to get x
100/4.2480392156863=x
23.540272328641=x
x=23.540272328641

now we have:
10.2 is 23.540272328641% of 43.33