213.35 is what percent of 1277.3 - 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 1277.3 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 1277.3, so we can write it down as 100%=1277.3.
4. We know, that x% equals 213.35 of the output value, so we can write it down as x%=213.35.
5. Now we have two simple equations:
1) 100%=1277.3
2) x%=213.35
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%=1277.3/213.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 213.35 is what percent of 1277.3

100%/x%=1277.3/213.35
(100/x)*x=(1277.3/213.35)*x       - we multiply both sides of the equation by x
100=5.9868760253105*x       - we divide both sides of the equation by (5.9868760253105) to get x
100/5.9868760253105=x
16.70320206686=x
x=16.70320206686

now we have:
213.35 is 16.70320206686% of 1277.3