What is 45.8 percent of 1157 - 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 1157 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 1157 is 100%, so we can write it down as 1157=100%.
4. We know, that x is 45.8% of the output value, so we can write it down as x=45.8%.
5. Now we have two simple equations:
1) 1157=100%
2) x=45.8%
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:
1157/x=100%/45.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 45.8% of 1157

1157/x=100/45.8
(1157/x)*x=(100/45.8)*x       - we multiply both sides of the equation by x
1157=2.1834061135371*x       - we divide both sides of the equation by (2.1834061135371) to get x
1157/2.1834061135371=x
529.906=x
x=529.906

now we have:
45.8% of 1157=529.906