17.7 is what percent of 43.975 - 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 43.975 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 43.975, so we can write it down as 100%=43.975.
4. We know, that x% equals 17.7 of the output value, so we can write it down as x%=17.7.
5. Now we have two simple equations:
1) 100%=43.975
2) x%=17.7
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%=43.975/17.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.7 is what percent of 43.975

100%/x%=43.975/17.7
(100/x)*x=(43.975/17.7)*x       - we multiply both sides of the equation by x
100=2.4844632768362*x       - we divide both sides of the equation by (2.4844632768362) to get x
100/2.4844632768362=x
40.250142126208=x
x=40.250142126208

now we have:
17.7 is 40.250142126208% of 43.975