350.55 is what percent of 1230 - 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 1230 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 1230, so we can write it down as 100%=1230.
4. We know, that x% equals 350.55 of the output value, so we can write it down as x%=350.55.
5. Now we have two simple equations:
1) 100%=1230
2) x%=350.55
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%=1230/350.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 350.55 is what percent of 1230

100%/x%=1230/350.55
(100/x)*x=(1230/350.55)*x       - we multiply both sides of the equation by x
100=3.5087719298246*x       - we divide both sides of the equation by (3.5087719298246) to get x
100/3.5087719298246=x
28.5=x
x=28.5

now we have:
350.55 is 28.5% of 1230