What is 58.4 percent of 977.49 - 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 977.49 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 977.49 is 100%, so we can write it down as 977.49=100%.
4. We know, that x is 58.4% of the output value, so we can write it down as x=58.4%.
5. Now we have two simple equations:
1) 977.49=100%
2) x=58.4%
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:
977.49/x=100%/58.4%
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 58.4% of 977.49

977.49/x=100/58.4
(977.49/x)*x=(100/58.4)*x       - we multiply both sides of the equation by x
977.49=1.7123287671233*x       - we divide both sides of the equation by (1.7123287671233) to get x
977.49/1.7123287671233=x
570.85416=x
x=570.85416

now we have:
58.4% of 977.49=570.85416