19.57 is what percent of 978.58 - 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 978.58 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 978.58, so we can write it down as 100%=978.58.
4. We know, that x% equals 19.57 of the output value, so we can write it down as x%=19.57.
5. Now we have two simple equations:
1) 100%=978.58
2) x%=19.57
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%=978.58/19.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.57 is what percent of 978.58

100%/x%=978.58/19.57
(100/x)*x=(978.58/19.57)*x       - we multiply both sides of the equation by x
100=50.004087889627*x       - we divide both sides of the equation by (50.004087889627) to get x
100/50.004087889627=x
1.9998364977825=x
x=1.9998364977825

now we have:
19.57 is 1.9998364977825% of 978.58