56 is what percent of 15175 - 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 15175 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 15175, so we can write it down as 100%=15175.
4. We know, that x% equals 56 of the output value, so we can write it down as x%=56.
5. Now we have two simple equations:
1) 100%=15175
2) x%=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%=15175/56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56 is what percent of 15175

100%/x%=15175/56
(100/x)*x=(15175/56)*x       - we multiply both sides of the equation by x
100=270.98214285714*x       - we divide both sides of the equation by (270.98214285714) to get x
100/270.98214285714=x
0.36902800658979=x
x=0.36902800658979

now we have:
56 is 0.36902800658979% of 15175