207.79 is what percent of 293 - 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 293 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 293, so we can write it down as 100%=293.
4. We know, that x% equals 207.79 of the output value, so we can write it down as x%=207.79.
5. Now we have two simple equations:
1) 100%=293
2) x%=207.79
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%=293/207.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 207.79 is what percent of 293

100%/x%=293/207.79
(100/x)*x=(293/207.79)*x       - we multiply both sides of the equation by x
100=1.4100774820732*x       - we divide both sides of the equation by (1.4100774820732) to get x
100/1.4100774820732=x
70.918088737201=x
x=70.918088737201

now we have:
207.79 is 70.918088737201% of 293