What is 90.42 percent of 84 - 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 84 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 84 is 100%, so we can write it down as 84=100%.
4. We know, that x is 90.42% of the output value, so we can write it down as x=90.42%.
5. Now we have two simple equations:
1) 84=100%
2) x=90.42%
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:
84/x=100%/90.42%
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 90.42% of 84

84/x=100/90.42
(84/x)*x=(100/90.42)*x       - we multiply both sides of the equation by x
84=1.1059500110595*x       - we divide both sides of the equation by (1.1059500110595) to get x
84/1.1059500110595=x
75.9528=x
x=75.9528

now we have:
90.42% of 84=75.9528