5089.86 is what percent of 5980.86 - 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 5980.86 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 5980.86, so we can write it down as 100%=5980.86.
4. We know, that x% equals 5089.86 of the output value, so we can write it down as x%=5089.86.
5. Now we have two simple equations:
1) 100%=5980.86
2) x%=5089.86
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%=5980.86/5089.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5089.86 is what percent of 5980.86

100%/x%=5980.86/5089.86
(100/x)*x=(5980.86/5089.86)*x       - we multiply both sides of the equation by x
100=1.1750539307564*x       - we divide both sides of the equation by (1.1750539307564) to get x
100/1.1750539307564=x
85.102476901315=x
x=85.102476901315

now we have:
5089.86 is 85.102476901315% of 5980.86