8.4 is what percent of 290.4 - 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 290.4 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 290.4, so we can write it down as 100%=290.4.
4. We know, that x% equals 8.4 of the output value, so we can write it down as x%=8.4.
5. Now we have two simple equations:
1) 100%=290.4
2) x%=8.4
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%=290.4/8.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.4 is what percent of 290.4

100%/x%=290.4/8.4
(100/x)*x=(290.4/8.4)*x       - we multiply both sides of the equation by x
100=34.571428571429*x       - we divide both sides of the equation by (34.571428571429) to get x
100/34.571428571429=x
2.8925619834711=x
x=2.8925619834711

now we have:
8.4 is 2.8925619834711% of 290.4