108.05 is what percent of 521.74 - 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 521.74 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 521.74, so we can write it down as 100%=521.74.
4. We know, that x% equals 108.05 of the output value, so we can write it down as x%=108.05.
5. Now we have two simple equations:
1) 100%=521.74
2) x%=108.05
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%=521.74/108.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.05 is what percent of 521.74

100%/x%=521.74/108.05
(100/x)*x=(521.74/108.05)*x       - we multiply both sides of the equation by x
100=4.8286904211013*x       - we divide both sides of the equation by (4.8286904211013) to get x
100/4.8286904211013=x
20.709548817419=x
x=20.709548817419

now we have:
108.05 is 20.709548817419% of 521.74