250.3 is what percent of 419.2 - 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 419.2 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 419.2, so we can write it down as 100%=419.2.
4. We know, that x% equals 250.3 of the output value, so we can write it down as x%=250.3.
5. Now we have two simple equations:
1) 100%=419.2
2) x%=250.3
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%=419.2/250.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.3 is what percent of 419.2

100%/x%=419.2/250.3
(100/x)*x=(419.2/250.3)*x       - we multiply both sides of the equation by x
100=1.674790251698*x       - we divide both sides of the equation by (1.674790251698) to get x
100/1.674790251698=x
59.708969465649=x
x=59.708969465649

now we have:
250.3 is 59.708969465649% of 419.2