22.96 is what percent of 45.07 - 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 45.07 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 45.07, so we can write it down as 100%=45.07.
4. We know, that x% equals 22.96 of the output value, so we can write it down as x%=22.96.
5. Now we have two simple equations:
1) 100%=45.07
2) x%=22.96
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%=45.07/22.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.96 is what percent of 45.07

100%/x%=45.07/22.96
(100/x)*x=(45.07/22.96)*x       - we multiply both sides of the equation by x
100=1.9629790940767*x       - we divide both sides of the equation by (1.9629790940767) to get x
100/1.9629790940767=x
50.942977590415=x
x=50.942977590415

now we have:
22.96 is 50.942977590415% of 45.07