52.1 is what percent of 345.95 - 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 345.95 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 345.95, so we can write it down as 100%=345.95.
4. We know, that x% equals 52.1 of the output value, so we can write it down as x%=52.1.
5. Now we have two simple equations:
1) 100%=345.95
2) x%=52.1
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%=345.95/52.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.1 is what percent of 345.95

100%/x%=345.95/52.1
(100/x)*x=(345.95/52.1)*x       - we multiply both sides of the equation by x
100=6.6401151631478*x       - we divide both sides of the equation by (6.6401151631478) to get x
100/6.6401151631478=x
15.059979765862=x
x=15.059979765862

now we have:
52.1 is 15.059979765862% of 345.95