37.18 is what percent of 214.82 - 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 214.82 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 214.82, so we can write it down as 100%=214.82.
4. We know, that x% equals 37.18 of the output value, so we can write it down as x%=37.18.
5. Now we have two simple equations:
1) 100%=214.82
2) x%=37.18
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%=214.82/37.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.18 is what percent of 214.82

100%/x%=214.82/37.18
(100/x)*x=(214.82/37.18)*x       - we multiply both sides of the equation by x
100=5.7778375470683*x       - we divide both sides of the equation by (5.7778375470683) to get x
100/5.7778375470683=x
17.307513266921=x
x=17.307513266921

now we have:
37.18 is 17.307513266921% of 214.82