423.6 is what percent of 8.256 - 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 8.256 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 8.256, so we can write it down as 100%=8.256.
4. We know, that x% equals 423.6 of the output value, so we can write it down as x%=423.6.
5. Now we have two simple equations:
1) 100%=8.256
2) x%=423.6
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%=8.256/423.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 423.6 is what percent of 8.256

100%/x%=8.256/423.6
(100/x)*x=(8.256/423.6)*x       - we multiply both sides of the equation by x
100=0.019490084985836*x       - we divide both sides of the equation by (0.019490084985836) to get x
100/0.019490084985836=x
5130.8139534884=x
x=5130.8139534884

now we have:
423.6 is 5130.8139534884% of 8.256