247.4 is what percent of 445.8 - 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 445.8 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 445.8, so we can write it down as 100%=445.8.
4. We know, that x% equals 247.4 of the output value, so we can write it down as x%=247.4.
5. Now we have two simple equations:
1) 100%=445.8
2) x%=247.4
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%=445.8/247.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 247.4 is what percent of 445.8

100%/x%=445.8/247.4
(100/x)*x=(445.8/247.4)*x       - we multiply both sides of the equation by x
100=1.8019401778496*x       - we divide both sides of the equation by (1.8019401778496) to get x
100/1.8019401778496=x
55.495737999103=x
x=55.495737999103

now we have:
247.4 is 55.495737999103% of 445.8