229.9 is what percent of 512.99 - 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 512.99 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 512.99, so we can write it down as 100%=512.99.
4. We know, that x% equals 229.9 of the output value, so we can write it down as x%=229.9.
5. Now we have two simple equations:
1) 100%=512.99
2) x%=229.9
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%=512.99/229.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 229.9 is what percent of 512.99

100%/x%=512.99/229.9
(100/x)*x=(512.99/229.9)*x       - we multiply both sides of the equation by x
100=2.231361461505*x       - we divide both sides of the equation by (2.231361461505) to get x
100/2.231361461505=x
44.815688414979=x
x=44.815688414979

now we have:
229.9 is 44.815688414979% of 512.99