213.57 is what percent of 423.75 - 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 423.75 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 423.75, so we can write it down as 100%=423.75.
4. We know, that x% equals 213.57 of the output value, so we can write it down as x%=213.57.
5. Now we have two simple equations:
1) 100%=423.75
2) x%=213.57
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%=423.75/213.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 213.57 is what percent of 423.75

100%/x%=423.75/213.57
(100/x)*x=(423.75/213.57)*x       - we multiply both sides of the equation by x
100=1.984126984127*x       - we divide both sides of the equation by (1.984126984127) to get x
100/1.984126984127=x
50.4=x
x=50.4

now we have:
213.57 is 50.4% of 423.75