213.94 is what percent of 1337.5 - 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 1337.5 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 1337.5, so we can write it down as 100%=1337.5.
4. We know, that x% equals 213.94 of the output value, so we can write it down as x%=213.94.
5. Now we have two simple equations:
1) 100%=1337.5
2) x%=213.94
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%=1337.5/213.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 213.94 is what percent of 1337.5

100%/x%=1337.5/213.94
(100/x)*x=(1337.5/213.94)*x       - we multiply both sides of the equation by x
100=6.2517528278957*x       - we divide both sides of the equation by (6.2517528278957) to get x
100/6.2517528278957=x
15.995514018692=x
x=15.995514018692

now we have:
213.94 is 15.995514018692% of 1337.5