977.5 is what percent of 1145 - 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 1145 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 1145, so we can write it down as 100%=1145.
4. We know, that x% equals 977.5 of the output value, so we can write it down as x%=977.5.
5. Now we have two simple equations:
1) 100%=1145
2) x%=977.5
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%=1145/977.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 977.5 is what percent of 1145

100%/x%=1145/977.5
(100/x)*x=(1145/977.5)*x       - we multiply both sides of the equation by x
100=1.1713554987212*x       - we divide both sides of the equation by (1.1713554987212) to get x
100/1.1713554987212=x
85.371179039301=x
x=85.371179039301

now we have:
977.5 is 85.371179039301% of 1145