141.45 is what percent of 229 - 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 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, so we can write it down as 100%=229.
4. We know, that x% equals 141.45 of the output value, so we can write it down as x%=141.45.
5. Now we have two simple equations:
1) 100%=229
2) x%=141.45
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%=229/141.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 141.45 is what percent of 229

100%/x%=229/141.45
(100/x)*x=(229/141.45)*x       - we multiply both sides of the equation by x
100=1.6189466242489*x       - we divide both sides of the equation by (1.6189466242489) to get x
100/1.6189466242489=x
61.768558951965=x
x=61.768558951965

now we have:
141.45 is 61.768558951965% of 229