45.26 is what percent of 412.74 - 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 412.74 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 412.74, so we can write it down as 100%=412.74.
4. We know, that x% equals 45.26 of the output value, so we can write it down as x%=45.26.
5. Now we have two simple equations:
1) 100%=412.74
2) x%=45.26
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%=412.74/45.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.26 is what percent of 412.74

100%/x%=412.74/45.26
(100/x)*x=(412.74/45.26)*x       - we multiply both sides of the equation by x
100=9.1193106495802*x       - we divide both sides of the equation by (9.1193106495802) to get x
100/9.1193106495802=x
10.965741144546=x
x=10.965741144546

now we have:
45.26 is 10.965741144546% of 412.74