697.5 is what percent of 1417.5 - 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 1417.5 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 1417.5, so we can write it down as 100%=1417.5.
4. We know, that x% equals 697.5 of the output value, so we can write it down as x%=697.5.
5. Now we have two simple equations:
1) 100%=1417.5
2) x%=697.5
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%=1417.5/697.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 697.5 is what percent of 1417.5

100%/x%=1417.5/697.5
(100/x)*x=(1417.5/697.5)*x       - we multiply both sides of the equation by x
100=2.0322580645161*x       - we divide both sides of the equation by (2.0322580645161) to get x
100/2.0322580645161=x
49.206349206349=x
x=49.206349206349

now we have:
697.5 is 49.206349206349% of 1417.5