419.88 is what percent of 699.8 - 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 699.8 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 699.8, so we can write it down as 100%=699.8.
4. We know, that x% equals 419.88 of the output value, so we can write it down as x%=419.88.
5. Now we have two simple equations:
1) 100%=699.8
2) x%=419.88
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%=699.8/419.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 419.88 is what percent of 699.8

100%/x%=699.8/419.88
(100/x)*x=(699.8/419.88)*x       - we multiply both sides of the equation by x
100=1.6666666666667*x       - we divide both sides of the equation by (1.6666666666667) to get x
100/1.6666666666667=x
60=x
x=60

now we have:
419.88 is 60% of 699.8