434.5 is what percent of 693.75 - 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 693.75 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 693.75, so we can write it down as 100%=693.75.
4. We know, that x% equals 434.5 of the output value, so we can write it down as x%=434.5.
5. Now we have two simple equations:
1) 100%=693.75
2) x%=434.5
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%=693.75/434.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 434.5 is what percent of 693.75

100%/x%=693.75/434.5
(100/x)*x=(693.75/434.5)*x       - we multiply both sides of the equation by x
100=1.59666283084*x       - we divide both sides of the equation by (1.59666283084) to get x
100/1.59666283084=x
62.630630630631=x
x=62.630630630631

now we have:
434.5 is 62.630630630631% of 693.75