3.55 is what percent of 45.53 - 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 45.53 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 45.53, so we can write it down as 100%=45.53.
4. We know, that x% equals 3.55 of the output value, so we can write it down as x%=3.55.
5. Now we have two simple equations:
1) 100%=45.53
2) x%=3.55
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%=45.53/3.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.55 is what percent of 45.53

100%/x%=45.53/3.55
(100/x)*x=(45.53/3.55)*x       - we multiply both sides of the equation by x
100=12.825352112676*x       - we divide both sides of the equation by (12.825352112676) to get x
100/12.825352112676=x
7.79705688557=x
x=7.79705688557

now we have:
3.55 is 7.79705688557% of 45.53