What is 97.8 percent of 56.2 - 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 56.2 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 56.2 is 100%, so we can write it down as 56.2=100%.
4. We know, that x is 97.8% of the output value, so we can write it down as x=97.8%.
5. Now we have two simple equations:
1) 56.2=100%
2) x=97.8%
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:
56.2/x=100%/97.8%
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 97.8% of 56.2

56.2/x=100/97.8
(56.2/x)*x=(100/97.8)*x       - we multiply both sides of the equation by x
56.2=1.0224948875256*x       - we divide both sides of the equation by (1.0224948875256) to get x
56.2/1.0224948875256=x
54.9636=x
x=54.9636

now we have:
97.8% of 56.2=54.9636