89.2 is what percent of 578 - 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 578 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 578, so we can write it down as 100%=578.
4. We know, that x% equals 89.2 of the output value, so we can write it down as x%=89.2.
5. Now we have two simple equations:
1) 100%=578
2) x%=89.2
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%=578/89.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.2 is what percent of 578

100%/x%=578/89.2
(100/x)*x=(578/89.2)*x       - we multiply both sides of the equation by x
100=6.4798206278027*x       - we divide both sides of the equation by (6.4798206278027) to get x
100/6.4798206278027=x
15.432525951557=x
x=15.432525951557

now we have:
89.2 is 15.432525951557% of 578