52.1 is what percent of 227.7 - 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 227.7 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 227.7, so we can write it down as 100%=227.7.
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%=227.7
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%=227.7/52.1
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 227.7

100%/x%=227.7/52.1
(100/x)*x=(227.7/52.1)*x       - we multiply both sides of the equation by x
100=4.3704414587332*x       - we divide both sides of the equation by (4.3704414587332) to get x
100/4.3704414587332=x
22.880983750549=x
x=22.880983750549

now we have:
52.1 is 22.880983750549% of 227.7