348.8 is what percent of 472.6 - 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 472.6 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 472.6, so we can write it down as 100%=472.6.
4. We know, that x% equals 348.8 of the output value, so we can write it down as x%=348.8.
5. Now we have two simple equations:
1) 100%=472.6
2) x%=348.8
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%=472.6/348.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 348.8 is what percent of 472.6

100%/x%=472.6/348.8
(100/x)*x=(472.6/348.8)*x       - we multiply both sides of the equation by x
100=1.3549311926606*x       - we divide both sides of the equation by (1.3549311926606) to get x
100/1.3549311926606=x
73.804485823106=x
x=73.804485823106

now we have:
348.8 is 73.804485823106% of 472.6