What is 17.85 percent of 58.27 - 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 58.27 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 58.27 is 100%, so we can write it down as 58.27=100%.
4. We know, that x is 17.85% of the output value, so we can write it down as x=17.85%.
5. Now we have two simple equations:
1) 58.27=100%
2) x=17.85%
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:
58.27/x=100%/17.85%
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 17.85% of 58.27

58.27/x=100/17.85
(58.27/x)*x=(100/17.85)*x       - we multiply both sides of the equation by x
58.27=5.6022408963585*x       - we divide both sides of the equation by (5.6022408963585) to get x
58.27/5.6022408963585=x
10.401195=x
x=10.401195

now we have:
17.85% of 58.27=10.401195