10.43 is what percent of 45.65 - 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 45.65 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 45.65, so we can write it down as 100%=45.65.
4. We know, that x% equals 10.43 of the output value, so we can write it down as x%=10.43.
5. Now we have two simple equations:
1) 100%=45.65
2) x%=10.43
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%=45.65/10.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.43 is what percent of 45.65

100%/x%=45.65/10.43
(100/x)*x=(45.65/10.43)*x       - we multiply both sides of the equation by x
100=4.3767976989454*x       - we divide both sides of the equation by (4.3767976989454) to get x
100/4.3767976989454=x
22.847754654984=x
x=22.847754654984

now we have:
10.43 is 22.847754654984% of 45.65