What is 77.75 percent of 558 - 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 558 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 558 is 100%, so we can write it down as 558=100%.
4. We know, that x is 77.75% of the output value, so we can write it down as x=77.75%.
5. Now we have two simple equations:
1) 558=100%
2) x=77.75%
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:
558/x=100%/77.75%
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 77.75% of 558

558/x=100/77.75
(558/x)*x=(100/77.75)*x       - we multiply both sides of the equation by x
558=1.2861736334405*x       - we divide both sides of the equation by (1.2861736334405) to get x
558/1.2861736334405=x
433.845=x
x=433.845

now we have:
77.75% of 558=433.845