What is 83.43 percent of 71.87 - 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 71.87 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 71.87 is 100%, so we can write it down as 71.87=100%.
4. We know, that x is 83.43% of the output value, so we can write it down as x=83.43%.
5. Now we have two simple equations:
1) 71.87=100%
2) x=83.43%
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:
71.87/x=100%/83.43%
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 83.43% of 71.87

71.87/x=100/83.43
(71.87/x)*x=(100/83.43)*x       - we multiply both sides of the equation by x
71.87=1.1986096128491*x       - we divide both sides of the equation by (1.1986096128491) to get x
71.87/1.1986096128491=x
59.961141=x
x=59.961141

now we have:
83.43% of 71.87=59.961141