214.5 is what percent of 234.5 - 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 234.5 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 234.5, so we can write it down as 100%=234.5.
4. We know, that x% equals 214.5 of the output value, so we can write it down as x%=214.5.
5. Now we have two simple equations:
1) 100%=234.5
2) x%=214.5
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%=234.5/214.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 214.5 is what percent of 234.5

100%/x%=234.5/214.5
(100/x)*x=(234.5/214.5)*x       - we multiply both sides of the equation by x
100=1.0932400932401*x       - we divide both sides of the equation by (1.0932400932401) to get x
100/1.0932400932401=x
91.471215351812=x
x=91.471215351812

now we have:
214.5 is 91.471215351812% of 234.5