214.32 is what percent of 1342.63 - 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 1342.63 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 1342.63, so we can write it down as 100%=1342.63.
4. We know, that x% equals 214.32 of the output value, so we can write it down as x%=214.32.
5. Now we have two simple equations:
1) 100%=1342.63
2) x%=214.32
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%=1342.63/214.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 214.32 is what percent of 1342.63

100%/x%=1342.63/214.32
(100/x)*x=(1342.63/214.32)*x       - we multiply both sides of the equation by x
100=6.2646043299739*x       - we divide both sides of the equation by (6.2646043299739) to get x
100/6.2646043299739=x
15.962700073736=x
x=15.962700073736

now we have:
214.32 is 15.962700073736% of 1342.63