76 is what percent of 83.8 - 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 83.8 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 100% equals 83.8, so we can write it down as 100%=83.8.
4. We know, that x% equals 76 of the output value, so we can write it down as x%=76.
5. Now we have two simple equations:
1) 100%=83.8
2) x%=76
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:
100%/x%=83.8/76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76 is what percent of 83.8

100%/x%=83.8/76
(100/x)*x=(83.8/76)*x       - we multiply both sides of the equation by x
100=1.1026315789474*x       - we divide both sides of the equation by (1.1026315789474) to get x
100/1.1026315789474=x
90.692124105012=x
x=90.692124105012

now we have:
76 is 90.692124105012% of 83.8