45.58 is what percent of 554.68 - 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 554.68 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 554.68, so we can write it down as 100%=554.68.
4. We know, that x% equals 45.58 of the output value, so we can write it down as x%=45.58.
5. Now we have two simple equations:
1) 100%=554.68
2) x%=45.58
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%=554.68/45.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.58 is what percent of 554.68

100%/x%=554.68/45.58
(100/x)*x=(554.68/45.58)*x       - we multiply both sides of the equation by x
100=12.169372531812*x       - we divide both sides of the equation by (12.169372531812) to get x
100/12.169372531812=x
8.2173505444581=x
x=8.2173505444581

now we have:
45.58 is 8.2173505444581% of 554.68