What is 58.9 percent of 280 - 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 280 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 280 is 100%, so we can write it down as 280=100%.
4. We know, that x is 58.9% of the output value, so we can write it down as x=58.9%.
5. Now we have two simple equations:
1) 280=100%
2) x=58.9%
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:
280/x=100%/58.9%
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 58.9% of 280

280/x=100/58.9
(280/x)*x=(100/58.9)*x       - we multiply both sides of the equation by x
280=1.6977928692699*x       - we divide both sides of the equation by (1.6977928692699) to get x
280/1.6977928692699=x
164.92=x
x=164.92

now we have:
58.9% of 280=164.92