214.38 is what percent of 667.53 - 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 667.53 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 667.53, so we can write it down as 100%=667.53.
4. We know, that x% equals 214.38 of the output value, so we can write it down as x%=214.38.
5. Now we have two simple equations:
1) 100%=667.53
2) x%=214.38
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%=667.53/214.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 214.38 is what percent of 667.53

100%/x%=667.53/214.38
(100/x)*x=(667.53/214.38)*x       - we multiply both sides of the equation by x
100=3.1137699412259*x       - we divide both sides of the equation by (3.1137699412259) to get x
100/3.1137699412259=x
32.115410543346=x
x=32.115410543346

now we have:
214.38 is 32.115410543346% of 667.53