What is 58.42 percent of 35.35 - 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 35.35 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 35.35 is 100%, so we can write it down as 35.35=100%.
4. We know, that x is 58.42% of the output value, so we can write it down as x=58.42%.
5. Now we have two simple equations:
1) 35.35=100%
2) x=58.42%
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:
35.35/x=100%/58.42%
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 58.42% of 35.35

35.35/x=100/58.42
(35.35/x)*x=(100/58.42)*x       - we multiply both sides of the equation by x
35.35=1.7117425539199*x       - we divide both sides of the equation by (1.7117425539199) to get x
35.35/1.7117425539199=x
20.65147=x
x=20.65147

now we have:
58.42% of 35.35=20.65147