What is 75.9 percent of 0.552 - 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 0.552 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 0.552 is 100%, so we can write it down as 0.552=100%.
4. We know, that x is 75.9% of the output value, so we can write it down as x=75.9%.
5. Now we have two simple equations:
1) 0.552=100%
2) x=75.9%
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:
0.552/x=100%/75.9%
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 75.9% of 0.552

0.552/x=100/75.9
(0.552/x)*x=(100/75.9)*x       - we multiply both sides of the equation by x
0.552=1.3175230566535*x       - we divide both sides of the equation by (1.3175230566535) to get x
0.552/1.3175230566535=x
0.418968=x
x=0.418968

now we have:
75.9% of 0.552=0.418968