6.9 is what percent of 203.7 - 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 203.7 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 203.7, so we can write it down as 100%=203.7.
4. We know, that x% equals 6.9 of the output value, so we can write it down as x%=6.9.
5. Now we have two simple equations:
1) 100%=203.7
2) x%=6.9
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%=203.7/6.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.9 is what percent of 203.7

100%/x%=203.7/6.9
(100/x)*x=(203.7/6.9)*x       - we multiply both sides of the equation by x
100=29.521739130435*x       - we divide both sides of the equation by (29.521739130435) to get x
100/29.521739130435=x
3.3873343151694=x
x=3.3873343151694

now we have:
6.9 is 3.3873343151694% of 203.7