213.75 is what percent of 1355 - 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 1355 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 1355, so we can write it down as 100%=1355.
4. We know, that x% equals 213.75 of the output value, so we can write it down as x%=213.75.
5. Now we have two simple equations:
1) 100%=1355
2) x%=213.75
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%=1355/213.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 213.75 is what percent of 1355

100%/x%=1355/213.75
(100/x)*x=(1355/213.75)*x       - we multiply both sides of the equation by x
100=6.3391812865497*x       - we divide both sides of the equation by (6.3391812865497) to get x
100/6.3391812865497=x
15.774907749077=x
x=15.774907749077

now we have:
213.75 is 15.774907749077% of 1355