6.35 is what percent of 211.78 - 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 211.78 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 211.78, so we can write it down as 100%=211.78.
4. We know, that x% equals 6.35 of the output value, so we can write it down as x%=6.35.
5. Now we have two simple equations:
1) 100%=211.78
2) x%=6.35
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%=211.78/6.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.35 is what percent of 211.78

100%/x%=211.78/6.35
(100/x)*x=(211.78/6.35)*x       - we multiply both sides of the equation by x
100=33.351181102362*x       - we divide both sides of the equation by (33.351181102362) to get x
100/33.351181102362=x
2.9983945603929=x
x=2.9983945603929

now we have:
6.35 is 2.9983945603929% of 211.78