70.17 is what percent of 467.85 - 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 467.85 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 467.85, so we can write it down as 100%=467.85.
4. We know, that x% equals 70.17 of the output value, so we can write it down as x%=70.17.
5. Now we have two simple equations:
1) 100%=467.85
2) x%=70.17
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%=467.85/70.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.17 is what percent of 467.85

100%/x%=467.85/70.17
(100/x)*x=(467.85/70.17)*x       - we multiply both sides of the equation by x
100=6.6673792218897*x       - we divide both sides of the equation by (6.6673792218897) to get x
100/6.6673792218897=x
14.99839692209=x
x=14.99839692209

now we have:
70.17 is 14.99839692209% of 467.85