57.45 is what percent of 620.94 - 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 620.94 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 620.94, so we can write it down as 100%=620.94.
4. We know, that x% equals 57.45 of the output value, so we can write it down as x%=57.45.
5. Now we have two simple equations:
1) 100%=620.94
2) x%=57.45
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%=620.94/57.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.45 is what percent of 620.94

100%/x%=620.94/57.45
(100/x)*x=(620.94/57.45)*x       - we multiply both sides of the equation by x
100=10.808355091384*x       - we divide both sides of the equation by (10.808355091384) to get x
100/10.808355091384=x
9.2521016523336=x
x=9.2521016523336

now we have:
57.45 is 9.2521016523336% of 620.94