4.55 is what percent of 69.53 - 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 69.53 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 69.53, so we can write it down as 100%=69.53.
4. We know, that x% equals 4.55 of the output value, so we can write it down as x%=4.55.
5. Now we have two simple equations:
1) 100%=69.53
2) x%=4.55
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%=69.53/4.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.55 is what percent of 69.53

100%/x%=69.53/4.55
(100/x)*x=(69.53/4.55)*x       - we multiply both sides of the equation by x
100=15.281318681319*x       - we divide both sides of the equation by (15.281318681319) to get x
100/15.281318681319=x
6.543937868546=x
x=6.543937868546

now we have:
4.55 is 6.543937868546% of 69.53