345.3 is what percent of 631.8 - 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 631.8 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 631.8, so we can write it down as 100%=631.8.
4. We know, that x% equals 345.3 of the output value, so we can write it down as x%=345.3.
5. Now we have two simple equations:
1) 100%=631.8
2) x%=345.3
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%=631.8/345.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 345.3 is what percent of 631.8

100%/x%=631.8/345.3
(100/x)*x=(631.8/345.3)*x       - we multiply both sides of the equation by x
100=1.8297132927889*x       - we divide both sides of the equation by (1.8297132927889) to get x
100/1.8297132927889=x
54.653371320038=x
x=54.653371320038

now we have:
345.3 is 54.653371320038% of 631.8