56.6 is what percent of 798.34 - 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 798.34 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 798.34, so we can write it down as 100%=798.34.
4. We know, that x% equals 56.6 of the output value, so we can write it down as x%=56.6.
5. Now we have two simple equations:
1) 100%=798.34
2) x%=56.6
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%=798.34/56.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.6 is what percent of 798.34

100%/x%=798.34/56.6
(100/x)*x=(798.34/56.6)*x       - we multiply both sides of the equation by x
100=14.104946996466*x       - we divide both sides of the equation by (14.104946996466) to get x
100/14.104946996466=x
7.0897111506376=x
x=7.0897111506376

now we have:
56.6 is 7.0897111506376% of 798.34