What is 10.07 percent of 419.62 - 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 419.62 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 419.62 is 100%, so we can write it down as 419.62=100%.
4. We know, that x is 10.07% of the output value, so we can write it down as x=10.07%.
5. Now we have two simple equations:
1) 419.62=100%
2) x=10.07%
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:
419.62/x=100%/10.07%
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 10.07% of 419.62

419.62/x=100/10.07
(419.62/x)*x=(100/10.07)*x       - we multiply both sides of the equation by x
419.62=9.9304865938431*x       - we divide both sides of the equation by (9.9304865938431) to get x
419.62/9.9304865938431=x
42.255734=x
x=42.255734

now we have:
10.07% of 419.62=42.255734