8.29 is what percent of 5.49 - 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 5.49 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 5.49, so we can write it down as 100%=5.49.
4. We know, that x% equals 8.29 of the output value, so we can write it down as x%=8.29.
5. Now we have two simple equations:
1) 100%=5.49
2) x%=8.29
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%=5.49/8.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.29 is what percent of 5.49

100%/x%=5.49/8.29
(100/x)*x=(5.49/8.29)*x       - we multiply both sides of the equation by x
100=0.66224366706876*x       - we divide both sides of the equation by (0.66224366706876) to get x
100/0.66224366706876=x
151.00182149362=x
x=151.00182149362

now we have:
8.29 is 151.00182149362% of 5.49