56.49 is what percent of 152 - 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 152 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 152, so we can write it down as 100%=152.
4. We know, that x% equals 56.49 of the output value, so we can write it down as x%=56.49.
5. Now we have two simple equations:
1) 100%=152
2) x%=56.49
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%=152/56.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.49 is what percent of 152

100%/x%=152/56.49
(100/x)*x=(152/56.49)*x       - we multiply both sides of the equation by x
100=2.690741724199*x       - we divide both sides of the equation by (2.690741724199) to get x
100/2.690741724199=x
37.164473684211=x
x=37.164473684211

now we have:
56.49 is 37.164473684211% of 152