41.6 is what percent of 421.65 - 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 421.65 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 100% equals 421.65, so we can write it down as 100%=421.65.
4. We know, that x% equals 41.6 of the output value, so we can write it down as x%=41.6.
5. Now we have two simple equations:
1) 100%=421.65
2) x%=41.6
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:
100%/x%=421.65/41.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.6 is what percent of 421.65

100%/x%=421.65/41.6
(100/x)*x=(421.65/41.6)*x       - we multiply both sides of the equation by x
100=10.135817307692*x       - we divide both sides of the equation by (10.135817307692) to get x
100/10.135817307692=x
9.8660026087988=x
x=9.8660026087988

now we have:
41.6 is 9.8660026087988% of 421.65