409.06 is what percent of 978.213 - 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 978.213 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 978.213, so we can write it down as 100%=978.213.
4. We know, that x% equals 409.06 of the output value, so we can write it down as x%=409.06.
5. Now we have two simple equations:
1) 100%=978.213
2) x%=409.06
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%=978.213/409.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 409.06 is what percent of 978.213

100%/x%=978.213/409.06
(100/x)*x=(978.213/409.06)*x       - we multiply both sides of the equation by x
100=2.3913680144722*x       - we divide both sides of the equation by (2.3913680144722) to get x
100/2.3913680144722=x
41.817068470773=x
x=41.817068470773

now we have:
409.06 is 41.817068470773% of 978.213