6.35 is what percent of 29.99 - 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 29.99 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 29.99, so we can write it down as 100%=29.99.
4. We know, that x% equals 6.35 of the output value, so we can write it down as x%=6.35.
5. Now we have two simple equations:
1) 100%=29.99
2) x%=6.35
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%=29.99/6.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.35 is what percent of 29.99

100%/x%=29.99/6.35
(100/x)*x=(29.99/6.35)*x       - we multiply both sides of the equation by x
100=4.7228346456693*x       - we divide both sides of the equation by (4.7228346456693) to get x
100/4.7228346456693=x
21.173724574858=x
x=21.173724574858

now we have:
6.35 is 21.173724574858% of 29.99