83.46 is what percent of 87 - 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 87 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 87, so we can write it down as 100%=87.
4. We know, that x% equals 83.46 of the output value, so we can write it down as x%=83.46.
5. Now we have two simple equations:
1) 100%=87
2) x%=83.46
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%=87/83.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.46 is what percent of 87

100%/x%=87/83.46
(100/x)*x=(87/83.46)*x       - we multiply both sides of the equation by x
100=1.0424155283968*x       - we divide both sides of the equation by (1.0424155283968) to get x
100/1.0424155283968=x
95.931034482759=x
x=95.931034482759

now we have:
83.46 is 95.931034482759% of 87