35.5 is what percent of 45.5 - 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 45.5 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 45.5, so we can write it down as 100%=45.5.
4. We know, that x% equals 35.5 of the output value, so we can write it down as x%=35.5.
5. Now we have two simple equations:
1) 100%=45.5
2) x%=35.5
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%=45.5/35.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.5 is what percent of 45.5

100%/x%=45.5/35.5
(100/x)*x=(45.5/35.5)*x       - we multiply both sides of the equation by x
100=1.2816901408451*x       - we divide both sides of the equation by (1.2816901408451) to get x
100/1.2816901408451=x
78.021978021978=x
x=78.021978021978

now we have:
35.5 is 78.021978021978% of 45.5