27.86 is what percent of 70 - 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 70 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 70, so we can write it down as 100%=70.
4. We know, that x% equals 27.86 of the output value, so we can write it down as x%=27.86.
5. Now we have two simple equations:
1) 100%=70
2) x%=27.86
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%=70/27.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.86 is what percent of 70

100%/x%=70/27.86
(100/x)*x=(70/27.86)*x       - we multiply both sides of the equation by x
100=2.5125628140704*x       - we divide both sides of the equation by (2.5125628140704) to get x
100/2.5125628140704=x
39.8=x
x=39.8

now we have:
27.86 is 39.8% of 70