56.77 is what percent of 990.58 - 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 990.58 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 990.58, so we can write it down as 100%=990.58.
4. We know, that x% equals 56.77 of the output value, so we can write it down as x%=56.77.
5. Now we have two simple equations:
1) 100%=990.58
2) x%=56.77
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%=990.58/56.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.77 is what percent of 990.58

100%/x%=990.58/56.77
(100/x)*x=(990.58/56.77)*x       - we multiply both sides of the equation by x
100=17.449004756033*x       - we divide both sides of the equation by (17.449004756033) to get x
100/17.449004756033=x
5.7309858870561=x
x=5.7309858870561

now we have:
56.77 is 5.7309858870561% of 990.58