What is 1175 percent of 98.5 - 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 98.5 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 98.5 is 100%, so we can write it down as 98.5=100%.
4. We know, that x is 1175% of the output value, so we can write it down as x=1175%.
5. Now we have two simple equations:
1) 98.5=100%
2) x=1175%
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:
98.5/x=100%/1175%
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 1175% of 98.5

98.5/x=100/1175
(98.5/x)*x=(100/1175)*x       - we multiply both sides of the equation by x
98.5=0.085106382978723*x       - we divide both sides of the equation by (0.085106382978723) to get x
98.5/0.085106382978723=x
1157.375=x
x=1157.375

now we have:
1175% of 98.5=1157.375