419.99 is what percent of 5.6 - 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 5.6 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 5.6, so we can write it down as 100%=5.6.
4. We know, that x% equals 419.99 of the output value, so we can write it down as x%=419.99.
5. Now we have two simple equations:
1) 100%=5.6
2) x%=419.99
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%=5.6/419.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 419.99 is what percent of 5.6

100%/x%=5.6/419.99
(100/x)*x=(5.6/419.99)*x       - we multiply both sides of the equation by x
100=0.01333365080121*x       - we divide both sides of the equation by (0.01333365080121) to get x
100/0.01333365080121=x
7499.8214285714=x
x=7499.8214285714

now we have:
419.99 is 7499.8214285714% of 5.6