38.47 is what percent of 214.99 - 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 214.99 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 214.99, so we can write it down as 100%=214.99.
4. We know, that x% equals 38.47 of the output value, so we can write it down as x%=38.47.
5. Now we have two simple equations:
1) 100%=214.99
2) x%=38.47
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%=214.99/38.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.47 is what percent of 214.99

100%/x%=214.99/38.47
(100/x)*x=(214.99/38.47)*x       - we multiply both sides of the equation by x
100=5.5885105276839*x       - we divide both sides of the equation by (5.5885105276839) to get x
100/5.5885105276839=x
17.893855528164=x
x=17.893855528164

now we have:
38.47 is 17.893855528164% of 214.99