430.87 is what percent of 607.96 - 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 607.96 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 607.96, so we can write it down as 100%=607.96.
4. We know, that x% equals 430.87 of the output value, so we can write it down as x%=430.87.
5. Now we have two simple equations:
1) 100%=607.96
2) x%=430.87
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%=607.96/430.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 430.87 is what percent of 607.96

100%/x%=607.96/430.87
(100/x)*x=(607.96/430.87)*x       - we multiply both sides of the equation by x
100=1.4110056397521*x       - we divide both sides of the equation by (1.4110056397521) to get x
100/1.4110056397521=x
70.871438910455=x
x=70.871438910455

now we have:
430.87 is 70.871438910455% of 607.96