288.86 is what percent of 470 - 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 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, so we can write it down as 100%=470.
4. We know, that x% equals 288.86 of the output value, so we can write it down as x%=288.86.
5. Now we have two simple equations:
1) 100%=470
2) x%=288.86
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%=470/288.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.86 is what percent of 470

100%/x%=470/288.86
(100/x)*x=(470/288.86)*x       - we multiply both sides of the equation by x
100=1.6270857855016*x       - we divide both sides of the equation by (1.6270857855016) to get x
100/1.6270857855016=x
61.459574468085=x
x=61.459574468085

now we have:
288.86 is 61.459574468085% of 470