What is 5.8823529411765 percent of 1020 - 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 1020 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 1020 is 100%, so we can write it down as 1020=100%.
4. We know, that x is 5.8823529411765% of the output value, so we can write it down as x=5.8823529411765%.
5. Now we have two simple equations:
1) 1020=100%
2) x=5.8823529411765%
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:
1020/x=100%/5.8823529411765%
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 5.8823529411765% of 1020

1020/x=100/5.8823529411765
(1020/x)*x=(100/5.8823529411765)*x       - we multiply both sides of the equation by x
1020=17*x       - we divide both sides of the equation by (17) to get x
1020/17=x
60=x
x=60

now we have:
5.8823529411765% of 1020=60