What is 89.937 percent of 0.975 - 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 0.975 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 0.975 is 100%, so we can write it down as 0.975=100%.
4. We know, that x is 89.937% of the output value, so we can write it down as x=89.937%.
5. Now we have two simple equations:
1) 0.975=100%
2) x=89.937%
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:
0.975/x=100%/89.937%
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 89.937% of 0.975

0.975/x=100/89.937
(0.975/x)*x=(100/89.937)*x       - we multiply both sides of the equation by x
0.975=1.1118894337147*x       - we divide both sides of the equation by (1.1118894337147) to get x
0.975/1.1118894337147=x
0.87688575=x
x=0.87688575

now we have:
89.937% of 0.975=0.87688575