64.9 is what percent of 229.7 - 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 229.7 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 229.7, so we can write it down as 100%=229.7.
4. We know, that x% equals 64.9 of the output value, so we can write it down as x%=64.9.
5. Now we have two simple equations:
1) 100%=229.7
2) x%=64.9
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%=229.7/64.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.9 is what percent of 229.7

100%/x%=229.7/64.9
(100/x)*x=(229.7/64.9)*x       - we multiply both sides of the equation by x
100=3.5392912172573*x       - we divide both sides of the equation by (3.5392912172573) to get x
100/3.5392912172573=x
28.254244666957=x
x=28.254244666957

now we have:
64.9 is 28.254244666957% of 229.7