0.56 is what percent of 71.13 - 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 71.13 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 71.13, so we can write it down as 100%=71.13.
4. We know, that x% equals 0.56 of the output value, so we can write it down as x%=0.56.
5. Now we have two simple equations:
1) 100%=71.13
2) x%=0.56
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%=71.13/0.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.56 is what percent of 71.13

100%/x%=71.13/0.56
(100/x)*x=(71.13/0.56)*x       - we multiply both sides of the equation by x
100=127.01785714286*x       - we divide both sides of the equation by (127.01785714286) to get x
100/127.01785714286=x
0.7872908758611=x
x=0.7872908758611

now we have:
0.56 is 0.7872908758611% of 71.13