245.66 is what percent of 470.29 - 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 470.29 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 470.29, so we can write it down as 100%=470.29.
4. We know, that x% equals 245.66 of the output value, so we can write it down as x%=245.66.
5. Now we have two simple equations:
1) 100%=470.29
2) x%=245.66
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%=470.29/245.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 245.66 is what percent of 470.29

100%/x%=470.29/245.66
(100/x)*x=(470.29/245.66)*x       - we multiply both sides of the equation by x
100=1.9143938777172*x       - we divide both sides of the equation by (1.9143938777172) to get x
100/1.9143938777172=x
52.235854472772=x
x=52.235854472772

now we have:
245.66 is 52.235854472772% of 470.29