What is 76.7 percent of 538 - 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 538 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 538 is 100%, so we can write it down as 538=100%.
4. We know, that x is 76.7% of the output value, so we can write it down as x=76.7%.
5. Now we have two simple equations:
1) 538=100%
2) x=76.7%
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:
538/x=100%/76.7%
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 76.7% of 538

538/x=100/76.7
(538/x)*x=(100/76.7)*x       - we multiply both sides of the equation by x
538=1.3037809647979*x       - we divide both sides of the equation by (1.3037809647979) to get x
538/1.3037809647979=x
412.646=x
x=412.646

now we have:
76.7% of 538=412.646