What is 58.345 percent of 10.49 - 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 10.49 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 10.49 is 100%, so we can write it down as 10.49=100%.
4. We know, that x is 58.345% of the output value, so we can write it down as x=58.345%.
5. Now we have two simple equations:
1) 10.49=100%
2) x=58.345%
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:
10.49/x=100%/58.345%
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 58.345% of 10.49

10.49/x=100/58.345
(10.49/x)*x=(100/58.345)*x       - we multiply both sides of the equation by x
10.49=1.7139429257006*x       - we divide both sides of the equation by (1.7139429257006) to get x
10.49/1.7139429257006=x
6.1203905=x
x=6.1203905

now we have:
58.345% of 10.49=6.1203905