97 is what percent of 1559 - 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 1559 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 1559, so we can write it down as 100%=1559.
4. We know, that x% equals 97 of the output value, so we can write it down as x%=97.
5. Now we have two simple equations:
1) 100%=1559
2) x%=97
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%=1559/97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97 is what percent of 1559

100%/x%=1559/97
(100/x)*x=(1559/97)*x       - we multiply both sides of the equation by x
100=16.0721649485*x       - we divide both sides of the equation by (16.0721649485) to get x
100/16.0721649485=x
6.22193713919=x
x=6.22193713919

now we have:
97 is 6.22193713919% of 1559