53.1 is what percent of 341.9 - 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 341.9 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 341.9, so we can write it down as 100%=341.9.
4. We know, that x% equals 53.1 of the output value, so we can write it down as x%=53.1.
5. Now we have two simple equations:
1) 100%=341.9
2) x%=53.1
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%=341.9/53.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.1 is what percent of 341.9

100%/x%=341.9/53.1
(100/x)*x=(341.9/53.1)*x       - we multiply both sides of the equation by x
100=6.4387947269303*x       - we divide both sides of the equation by (6.4387947269303) to get x
100/6.4387947269303=x
15.530856975724=x
x=15.530856975724

now we have:
53.1 is 15.530856975724% of 341.9