106.4 is what percent of 509.4 - 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 509.4 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 509.4, so we can write it down as 100%=509.4.
4. We know, that x% equals 106.4 of the output value, so we can write it down as x%=106.4.
5. Now we have two simple equations:
1) 100%=509.4
2) x%=106.4
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%=509.4/106.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.4 is what percent of 509.4

100%/x%=509.4/106.4
(100/x)*x=(509.4/106.4)*x       - we multiply both sides of the equation by x
100=4.7875939849624*x       - we divide both sides of the equation by (4.7875939849624) to get x
100/4.7875939849624=x
20.88731841382=x
x=20.88731841382

now we have:
106.4 is 20.88731841382% of 509.4