0.7 is what percent of 13.75 - 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 13.75 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 13.75, so we can write it down as 100%=13.75.
4. We know, that x% equals 0.7 of the output value, so we can write it down as x%=0.7.
5. Now we have two simple equations:
1) 100%=13.75
2) x%=0.7
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%=13.75/0.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.7 is what percent of 13.75

100%/x%=13.75/0.7
(100/x)*x=(13.75/0.7)*x       - we multiply both sides of the equation by x
100=19.642857142857*x       - we divide both sides of the equation by (19.642857142857) to get x
100/19.642857142857=x
5.0909090909091=x
x=5.0909090909091

now we have:
0.7 is 5.0909090909091% of 13.75