7.9 is what percent of 207.7 - 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 207.7 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 207.7, so we can write it down as 100%=207.7.
4. We know, that x% equals 7.9 of the output value, so we can write it down as x%=7.9.
5. Now we have two simple equations:
1) 100%=207.7
2) x%=7.9
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%=207.7/7.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.9 is what percent of 207.7

100%/x%=207.7/7.9
(100/x)*x=(207.7/7.9)*x       - we multiply both sides of the equation by x
100=26.291139240506*x       - we divide both sides of the equation by (26.291139240506) to get x
100/26.291139240506=x
3.8035628310063=x
x=3.8035628310063

now we have:
7.9 is 3.8035628310063% of 207.7