43.28 is what percent of 43.62 - 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 43.62 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 43.62, so we can write it down as 100%=43.62.
4. We know, that x% equals 43.28 of the output value, so we can write it down as x%=43.28.
5. Now we have two simple equations:
1) 100%=43.62
2) x%=43.28
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%=43.62/43.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.28 is what percent of 43.62

100%/x%=43.62/43.28
(100/x)*x=(43.62/43.28)*x       - we multiply both sides of the equation by x
100=1.0078558225508*x       - we divide both sides of the equation by (1.0078558225508) to get x
100/1.0078558225508=x
99.220541036222=x
x=99.220541036222

now we have:
43.28 is 99.220541036222% of 43.62