What is 89.46 percent of 577 - 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 577 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 577 is 100%, so we can write it down as 577=100%.
4. We know, that x is 89.46% of the output value, so we can write it down as x=89.46%.
5. Now we have two simple equations:
1) 577=100%
2) x=89.46%
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:
577/x=100%/89.46%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 89.46% of 577

577/x=100/89.46
(577/x)*x=(100/89.46)*x       - we multiply both sides of the equation by x
577=1.1178180192265*x       - we divide both sides of the equation by (1.1178180192265) to get x
577/1.1178180192265=x
516.1842=x
x=516.1842

now we have:
89.46% of 577=516.1842