397.73 is what percent of 284.26 - 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 284.26 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 284.26, so we can write it down as 100%=284.26.
4. We know, that x% equals 397.73 of the output value, so we can write it down as x%=397.73.
5. Now we have two simple equations:
1) 100%=284.26
2) x%=397.73
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%=284.26/397.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 397.73 is what percent of 284.26

100%/x%=284.26/397.73
(100/x)*x=(284.26/397.73)*x       - we multiply both sides of the equation by x
100=0.71470595630201*x       - we divide both sides of the equation by (0.71470595630201) to get x
100/0.71470595630201=x
139.91768099627=x
x=139.91768099627

now we have:
397.73 is 139.91768099627% of 284.26