20.34 is what percent of 414.69 - 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 414.69 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 414.69, so we can write it down as 100%=414.69.
4. We know, that x% equals 20.34 of the output value, so we can write it down as x%=20.34.
5. Now we have two simple equations:
1) 100%=414.69
2) x%=20.34
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%=414.69/20.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.34 is what percent of 414.69

100%/x%=414.69/20.34
(100/x)*x=(414.69/20.34)*x       - we multiply both sides of the equation by x
100=20.38790560472*x       - we divide both sides of the equation by (20.38790560472) to get x
100/20.38790560472=x
4.904868697099=x
x=4.904868697099

now we have:
20.34 is 4.904868697099% of 414.69