What is 58.23 percent of 421.12 - 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 421.12 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 421.12 is 100%, so we can write it down as 421.12=100%.
4. We know, that x is 58.23% of the output value, so we can write it down as x=58.23%.
5. Now we have two simple equations:
1) 421.12=100%
2) x=58.23%
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:
421.12/x=100%/58.23%
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 58.23% of 421.12

421.12/x=100/58.23
(421.12/x)*x=(100/58.23)*x       - we multiply both sides of the equation by x
421.12=1.7173278378843*x       - we divide both sides of the equation by (1.7173278378843) to get x
421.12/1.7173278378843=x
245.218176=x
x=245.218176

now we have:
58.23% of 421.12=245.218176